What is the Least Common Multiple of 37216 and 37229?

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 37216 and 37229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37216 and 37229, than apply into the LCM equation.

GCF(37216,37229) = 1
LCM(37216,37229) = ( 37216 × 37229) / 1
LCM(37216,37229) = 1385514464 / 1
LCM(37216,37229) = 1385514464

Least Common Multiple (LCM) of 37216 and 37229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37216 and 37229. First we will calculate the prime factors of 37216 and 37229.

Prime Factorization of 37216

Prime Factorization of 37229

Now multiplying the highest exponent prime factors to calculate the LCM of 37216 and 37229.

LCM(37216,37229) = 2⁵ × 1163¹ × 59¹ × 631¹
LCM(37216,37229) = 1385514464