What is the Least Common Multiple of 72656 and 72674?
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 72656 and 72674 is 2640101072.
LCM(72656,72674) = 2640101072
Least Common Multiple of 72656 and 72674 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72656 and 72674, than apply into the LCM equation.
GCF(72656,72674) = 2
LCM(72656,72674) = ( 72656 × 72674) / 2
LCM(72656,72674) = 5280202144 / 2
LCM(72656,72674) = 2640101072
Least Common Multiple (LCM) of 72656 and 72674 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72656 and 72674. First we will calculate the prime factors of 72656 and 72674.
Prime Factorization of 72656
Prime factors of 72656 are 2, 19, 239. Prime factorization of 72656 in exponential form is:
72656 = 24 × 191 × 2391
Prime Factorization of 72674
Prime factors of 72674 are 2, 7, 29, 179. Prime factorization of 72674 in exponential form is:
72674 = 21 × 71 × 291 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 72656 and 72674.
LCM(72656,72674) = 24 × 191 × 2391 × 71 × 291 × 1791
LCM(72656,72674) = 2640101072
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