What is the Least Common Multiple of 37608 and 37620?

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 37608 and 37620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37608 and 37620, than apply into the LCM equation.

GCF(37608,37620) = 12
LCM(37608,37620) = ( 37608 × 37620) / 12
LCM(37608,37620) = 1414812960 / 12
LCM(37608,37620) = 117901080

Least Common Multiple (LCM) of 37608 and 37620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37608 and 37620. First we will calculate the prime factors of 37608 and 37620.

Prime Factorization of 37608

Prime Factorization of 37620

Now multiplying the highest exponent prime factors to calculate the LCM of 37608 and 37620.

LCM(37608,37620) = 2³ × 3² × 1567¹ × 5¹ × 11¹ × 19¹
LCM(37608,37620) = 117901080