What is the Least Common Multiple of 49544 and 49548?
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 49544 and 49548 is 613701528.
LCM(49544,49548) = 613701528
Least Common Multiple of 49544 and 49548 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49544 and 49548, than apply into the LCM equation.
GCF(49544,49548) = 4
LCM(49544,49548) = ( 49544 × 49548) / 4
LCM(49544,49548) = 2454806112 / 4
LCM(49544,49548) = 613701528
Least Common Multiple (LCM) of 49544 and 49548 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49544 and 49548. First we will calculate the prime factors of 49544 and 49548.
Prime Factorization of 49544
Prime factors of 49544 are 2, 11, 563. Prime factorization of 49544 in exponential form is:
49544 = 23 × 111 × 5631
Prime Factorization of 49548
Prime factors of 49548 are 2, 3, 4129. Prime factorization of 49548 in exponential form is:
49548 = 22 × 31 × 41291
Now multiplying the highest exponent prime factors to calculate the LCM of 49544 and 49548.
LCM(49544,49548) = 23 × 111 × 5631 × 31 × 41291
LCM(49544,49548) = 613701528
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