What is the Least Common Multiple of 37076 and 37089?

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 37076 and 37089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37076 and 37089, than apply into the LCM equation.

GCF(37076,37089) = 13
LCM(37076,37089) = ( 37076 × 37089) / 13
LCM(37076,37089) = 1375111764 / 13
LCM(37076,37089) = 105777828

Least Common Multiple (LCM) of 37076 and 37089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37076 and 37089. First we will calculate the prime factors of 37076 and 37089.

Prime Factorization of 37076

Prime Factorization of 37089

Now multiplying the highest exponent prime factors to calculate the LCM of 37076 and 37089.

LCM(37076,37089) = 2² × 13¹ × 23¹ × 31¹ × 3² × 317¹
LCM(37076,37089) = 105777828