What is the Least Common Multiple of 37239 and 37246?

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 37239 and 37246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37239 and 37246, than apply into the LCM equation.

GCF(37239,37246) = 1
LCM(37239,37246) = ( 37239 × 37246) / 1
LCM(37239,37246) = 1387003794 / 1
LCM(37239,37246) = 1387003794

Least Common Multiple (LCM) of 37239 and 37246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37239 and 37246. First we will calculate the prime factors of 37239 and 37246.

Prime Factorization of 37239

Prime Factorization of 37246

Now multiplying the highest exponent prime factors to calculate the LCM of 37239 and 37246.

LCM(37239,37246) = 3¹ × 12413¹ × 2¹ × 11¹ × 1693¹
LCM(37239,37246) = 1387003794