What is the Least Common Multiple of 37545 and 37551?

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 37545 and 37551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37545 and 37551, than apply into the LCM equation.

GCF(37545,37551) = 3
LCM(37545,37551) = ( 37545 × 37551) / 3
LCM(37545,37551) = 1409852295 / 3
LCM(37545,37551) = 469950765

Least Common Multiple (LCM) of 37545 and 37551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37545 and 37551. First we will calculate the prime factors of 37545 and 37551.

Prime Factorization of 37545

Prime Factorization of 37551

Now multiplying the highest exponent prime factors to calculate the LCM of 37545 and 37551.

LCM(37545,37551) = 3¹ × 5¹ × 2503¹ × 12517¹
LCM(37545,37551) = 469950765