What is the Least Common Multiple of 37254 and 37261?

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 37261 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 37261, than apply into the LCM equation.

GCF(37254,37261) = 7
LCM(37254,37261) = ( 37254 × 37261) / 7
LCM(37254,37261) = 1388121294 / 7
LCM(37254,37261) = 198303042

Least Common Multiple (LCM) of 37254 and 37261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37254 and 37261. First we will calculate the prime factors of 37254 and 37261.

Prime Factorization of 37254

Prime Factorization of 37261

Now multiplying the highest exponent prime factors to calculate the LCM of 37254 and 37261.

LCM(37254,37261) = 2¹ × 3¹ × 7¹ × 887¹ × 5323¹
LCM(37254,37261) = 198303042