What is the Least Common Multiple of 37880 and 37888?

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 37888 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 37888, than apply into the LCM equation.

GCF(37880,37888) = 8
LCM(37880,37888) = ( 37880 × 37888) / 8
LCM(37880,37888) = 1435197440 / 8
LCM(37880,37888) = 179399680

Least Common Multiple (LCM) of 37880 and 37888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37880 and 37888. First we will calculate the prime factors of 37880 and 37888.

Prime Factorization of 37880

Prime Factorization of 37888

Now multiplying the highest exponent prime factors to calculate the LCM of 37880 and 37888.

LCM(37880,37888) = 2¹⁰ × 5¹ × 947¹ × 37¹
LCM(37880,37888) = 179399680