What is the Least Common Multiple of 37551 and 37563?

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 37551 and 37563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37551 and 37563, than apply into the LCM equation.

GCF(37551,37563) = 3
LCM(37551,37563) = ( 37551 × 37563) / 3
LCM(37551,37563) = 1410528213 / 3
LCM(37551,37563) = 470176071

Least Common Multiple (LCM) of 37551 and 37563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37551 and 37563. First we will calculate the prime factors of 37551 and 37563.

Prime Factorization of 37551

Prime Factorization of 37563

Now multiplying the highest exponent prime factors to calculate the LCM of 37551 and 37563.

LCM(37551,37563) = 3¹ × 12517¹ × 19¹ × 659¹
LCM(37551,37563) = 470176071