What is the Least Common Multiple of 37037 and 37057?

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 37037 and 37057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37037 and 37057, than apply into the LCM equation.

GCF(37037,37057) = 1
LCM(37037,37057) = ( 37037 × 37057) / 1
LCM(37037,37057) = 1372480109 / 1
LCM(37037,37057) = 1372480109

Least Common Multiple (LCM) of 37037 and 37057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37037 and 37057. First we will calculate the prime factors of 37037 and 37057.

Prime Factorization of 37037

Prime Factorization of 37057

Now multiplying the highest exponent prime factors to calculate the LCM of 37037 and 37057.

LCM(37037,37057) = 7¹ × 11¹ × 13¹ × 37¹ × 37057¹
LCM(37037,37057) = 1372480109