What is the Least Common Multiple of 37016 and 37036?

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 37016 and 37036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37016 and 37036, than apply into the LCM equation.

GCF(37016,37036) = 4
LCM(37016,37036) = ( 37016 × 37036) / 4
LCM(37016,37036) = 1370924576 / 4
LCM(37016,37036) = 342731144

Least Common Multiple (LCM) of 37016 and 37036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37016 and 37036. First we will calculate the prime factors of 37016 and 37036.

Prime Factorization of 37016

Prime Factorization of 37036

Now multiplying the highest exponent prime factors to calculate the LCM of 37016 and 37036.

LCM(37016,37036) = 2³ × 7¹ × 661¹ × 47¹ × 197¹
LCM(37016,37036) = 342731144