What is the Least Common Multiple of 37280 and 37294?

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 37280 and 37294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37280 and 37294, than apply into the LCM equation.

GCF(37280,37294) = 2
LCM(37280,37294) = ( 37280 × 37294) / 2
LCM(37280,37294) = 1390320320 / 2
LCM(37280,37294) = 695160160

Least Common Multiple (LCM) of 37280 and 37294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37280 and 37294. First we will calculate the prime factors of 37280 and 37294.

Prime Factorization of 37280

Prime Factorization of 37294

Now multiplying the highest exponent prime factors to calculate the LCM of 37280 and 37294.

LCM(37280,37294) = 2⁵ × 5¹ × 233¹ × 29¹ × 643¹
LCM(37280,37294) = 695160160