What is the Least Common Multiple of 438 and 445?
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 438 and 445 is 194910.
LCM(438,445) = 194910
Least Common Multiple of 438 and 445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 438 and 445, than apply into the LCM equation.
GCF(438,445) = 1
LCM(438,445) = ( 438 × 445) / 1
LCM(438,445) = 194910 / 1
LCM(438,445) = 194910
Least Common Multiple (LCM) of 438 and 445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 438 and 445. First we will calculate the prime factors of 438 and 445.
Prime Factorization of 438
Prime factors of 438 are 2, 3, 73. Prime factorization of 438 in exponential form is:
438 = 21 × 31 × 731
Prime Factorization of 445
Prime factors of 445 are 5, 89. Prime factorization of 445 in exponential form is:
445 = 51 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 438 and 445.
LCM(438,445) = 21 × 31 × 731 × 51 × 891
LCM(438,445) = 194910
Related Least Common Multiples of 438
- LCM of 438 and 442
- LCM of 438 and 443
- LCM of 438 and 444
- LCM of 438 and 445
- LCM of 438 and 446
- LCM of 438 and 447
- LCM of 438 and 448
- LCM of 438 and 449
- LCM of 438 and 450
- LCM of 438 and 451
- LCM of 438 and 452
- LCM of 438 and 453
- LCM of 438 and 454
- LCM of 438 and 455
- LCM of 438 and 456
- LCM of 438 and 457
- LCM of 438 and 458
Related Least Common Multiples of 445
- LCM of 445 and 449
- LCM of 445 and 450
- LCM of 445 and 451
- LCM of 445 and 452
- LCM of 445 and 453
- LCM of 445 and 454
- LCM of 445 and 455
- LCM of 445 and 456
- LCM of 445 and 457
- LCM of 445 and 458
- LCM of 445 and 459
- LCM of 445 and 460
- LCM of 445 and 461
- LCM of 445 and 462
- LCM of 445 and 463
- LCM of 445 and 464
- LCM of 445 and 465