What is the Least Common Multiple of 37880 and 37896?

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 37880 and 37896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37880 and 37896, than apply into the LCM equation.

GCF(37880,37896) = 8
LCM(37880,37896) = ( 37880 × 37896) / 8
LCM(37880,37896) = 1435500480 / 8
LCM(37880,37896) = 179437560

Least Common Multiple (LCM) of 37880 and 37896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37880 and 37896. First we will calculate the prime factors of 37880 and 37896.

Prime Factorization of 37880

Prime Factorization of 37896

Now multiplying the highest exponent prime factors to calculate the LCM of 37880 and 37896.

LCM(37880,37896) = 2³ × 5¹ × 947¹ × 3¹ × 1579¹
LCM(37880,37896) = 179437560