What is the Least Common Multiple of 37041 and 37053?

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 37041 and 37053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37041 and 37053, than apply into the LCM equation.

GCF(37041,37053) = 3
LCM(37041,37053) = ( 37041 × 37053) / 3
LCM(37041,37053) = 1372480173 / 3
LCM(37041,37053) = 457493391

Least Common Multiple (LCM) of 37041 and 37053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37041 and 37053. First we will calculate the prime factors of 37041 and 37053.

Prime Factorization of 37041

Prime Factorization of 37053

Now multiplying the highest exponent prime factors to calculate the LCM of 37041 and 37053.

LCM(37041,37053) = 3² × 12347¹ × 23¹ × 179¹
LCM(37041,37053) = 457493391