What is the Least Common Multiple of 37209 and 37217?

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 37209 and 37217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37209 and 37217, than apply into the LCM equation.

GCF(37209,37217) = 1
LCM(37209,37217) = ( 37209 × 37217) / 1
LCM(37209,37217) = 1384807353 / 1
LCM(37209,37217) = 1384807353

Least Common Multiple (LCM) of 37209 and 37217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37209 and 37217. First we will calculate the prime factors of 37209 and 37217.

Prime Factorization of 37209

Prime Factorization of 37217

Now multiplying the highest exponent prime factors to calculate the LCM of 37209 and 37217.

LCM(37209,37217) = 3¹ × 79¹ × 157¹ × 37217¹
LCM(37209,37217) = 1384807353