What is the Least Common Multiple of 54476 and 54492?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 54476 and 54492 is 742126548.
LCM(54476,54492) = 742126548
Least Common Multiple of 54476 and 54492 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54476 and 54492, than apply into the LCM equation.
GCF(54476,54492) = 4
LCM(54476,54492) = ( 54476 × 54492) / 4
LCM(54476,54492) = 2968506192 / 4
LCM(54476,54492) = 742126548
Least Common Multiple (LCM) of 54476 and 54492 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54476 and 54492. First we will calculate the prime factors of 54476 and 54492.
Prime Factorization of 54476
Prime factors of 54476 are 2, 13619. Prime factorization of 54476 in exponential form is:
54476 = 22 × 136191
Prime Factorization of 54492
Prime factors of 54492 are 2, 3, 19, 239. Prime factorization of 54492 in exponential form is:
54492 = 22 × 31 × 191 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 54476 and 54492.
LCM(54476,54492) = 22 × 136191 × 31 × 191 × 2391
LCM(54476,54492) = 742126548
Related Least Common Multiples of 54476
- LCM of 54476 and 54480
- LCM of 54476 and 54481
- LCM of 54476 and 54482
- LCM of 54476 and 54483
- LCM of 54476 and 54484
- LCM of 54476 and 54485
- LCM of 54476 and 54486
- LCM of 54476 and 54487
- LCM of 54476 and 54488
- LCM of 54476 and 54489
- LCM of 54476 and 54490
- LCM of 54476 and 54491
- LCM of 54476 and 54492
- LCM of 54476 and 54493
- LCM of 54476 and 54494
- LCM of 54476 and 54495
- LCM of 54476 and 54496
Related Least Common Multiples of 54492
- LCM of 54492 and 54496
- LCM of 54492 and 54497
- LCM of 54492 and 54498
- LCM of 54492 and 54499
- LCM of 54492 and 54500
- LCM of 54492 and 54501
- LCM of 54492 and 54502
- LCM of 54492 and 54503
- LCM of 54492 and 54504
- LCM of 54492 and 54505
- LCM of 54492 and 54506
- LCM of 54492 and 54507
- LCM of 54492 and 54508
- LCM of 54492 and 54509
- LCM of 54492 and 54510
- LCM of 54492 and 54511
- LCM of 54492 and 54512