What is the Least Common Multiple of 37059 and 37068?

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 37059 and 37068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37059 and 37068, than apply into the LCM equation.

GCF(37059,37068) = 3
LCM(37059,37068) = ( 37059 × 37068) / 3
LCM(37059,37068) = 1373703012 / 3
LCM(37059,37068) = 457901004

Least Common Multiple (LCM) of 37059 and 37068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37059 and 37068. First we will calculate the prime factors of 37059 and 37068.

Prime Factorization of 37059

Prime Factorization of 37068

Now multiplying the highest exponent prime factors to calculate the LCM of 37059 and 37068.

LCM(37059,37068) = 3¹ × 11¹ × 1123¹ × 2² × 3089¹
LCM(37059,37068) = 457901004