What is the Least Common Multiple of 74128 and 74137?

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 of 74128 and 74137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74128 and 74137, than apply into the LCM equation.

GCF(74128,74137) = 1
LCM(74128,74137) = ( 74128 × 74137) / 1
LCM(74128,74137) = 5495627536 / 1
LCM(74128,74137) = 5495627536

Least Common Multiple (LCM) of 74128 and 74137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74128 and 74137. First we will calculate the prime factors of 74128 and 74137.

Prime Factorization of 74128

Prime Factorization of 74137

Now multiplying the highest exponent prime factors to calculate the LCM of 74128 and 74137.

LCM(74128,74137) = 2⁴ × 41¹ × 113¹ × 7² × 17¹ × 89¹
LCM(74128,74137) = 5495627536