What is the Least Common Multiple of 37254 and 37268?

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 37254 and 37268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37254 and 37268, than apply into the LCM equation.

GCF(37254,37268) = 14
LCM(37254,37268) = ( 37254 × 37268) / 14
LCM(37254,37268) = 1388382072 / 14
LCM(37254,37268) = 99170148

Least Common Multiple (LCM) of 37254 and 37268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37254 and 37268. First we will calculate the prime factors of 37254 and 37268.

Prime Factorization of 37254

Prime Factorization of 37268

Now multiplying the highest exponent prime factors to calculate the LCM of 37254 and 37268.

LCM(37254,37268) = 2² × 3¹ × 7¹ × 887¹ × 11³
LCM(37254,37268) = 99170148