What is the Least Common Multiple of 37925 and 37945?

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 37925 and 37945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37925 and 37945, than apply into the LCM equation.

GCF(37925,37945) = 5
LCM(37925,37945) = ( 37925 × 37945) / 5
LCM(37925,37945) = 1439064125 / 5
LCM(37925,37945) = 287812825

Least Common Multiple (LCM) of 37925 and 37945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37925 and 37945. First we will calculate the prime factors of 37925 and 37945.

Prime Factorization of 37925

Prime Factorization of 37945

Now multiplying the highest exponent prime factors to calculate the LCM of 37925 and 37945.

LCM(37925,37945) = 5² × 37¹ × 41¹ × 7589¹
LCM(37925,37945) = 287812825