What is the Least Common Multiple of 37024 and 37037?

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 37024 and 37037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37024 and 37037, than apply into the LCM equation.

GCF(37024,37037) = 13
LCM(37024,37037) = ( 37024 × 37037) / 13
LCM(37024,37037) = 1371257888 / 13
LCM(37024,37037) = 105481376

Least Common Multiple (LCM) of 37024 and 37037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37024 and 37037. First we will calculate the prime factors of 37024 and 37037.

Prime Factorization of 37024

Prime Factorization of 37037

Now multiplying the highest exponent prime factors to calculate the LCM of 37024 and 37037.

LCM(37024,37037) = 2⁵ × 13¹ × 89¹ × 7¹ × 11¹ × 37¹
LCM(37024,37037) = 105481376