What is the Least Common Multiple of 37316 and 37326?

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 37316 and 37326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37316 and 37326, than apply into the LCM equation.

GCF(37316,37326) = 2
LCM(37316,37326) = ( 37316 × 37326) / 2
LCM(37316,37326) = 1392857016 / 2
LCM(37316,37326) = 696428508

Least Common Multiple (LCM) of 37316 and 37326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37316 and 37326. First we will calculate the prime factors of 37316 and 37326.

Prime Factorization of 37316

Prime Factorization of 37326

Now multiplying the highest exponent prime factors to calculate the LCM of 37316 and 37326.

LCM(37316,37326) = 2² × 19¹ × 491¹ × 3¹ × 6221¹
LCM(37316,37326) = 696428508