What is the Least Common Multiple of 37401 and 37416?

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 37401 and 37416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37401 and 37416, than apply into the LCM equation.

GCF(37401,37416) = 3
LCM(37401,37416) = ( 37401 × 37416) / 3
LCM(37401,37416) = 1399395816 / 3
LCM(37401,37416) = 466465272

Least Common Multiple (LCM) of 37401 and 37416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37401 and 37416. First we will calculate the prime factors of 37401 and 37416.

Prime Factorization of 37401

Prime Factorization of 37416

Now multiplying the highest exponent prime factors to calculate the LCM of 37401 and 37416.

LCM(37401,37416) = 3¹ × 7¹ × 13¹ × 137¹ × 2³ × 1559¹
LCM(37401,37416) = 466465272