What is the Least Common Multiple of 37400 and 37408?

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 37400 and 37408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37400 and 37408, than apply into the LCM equation.

GCF(37400,37408) = 8
LCM(37400,37408) = ( 37400 × 37408) / 8
LCM(37400,37408) = 1399059200 / 8
LCM(37400,37408) = 174882400

Least Common Multiple (LCM) of 37400 and 37408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37400 and 37408. First we will calculate the prime factors of 37400 and 37408.

Prime Factorization of 37400

Prime Factorization of 37408

Now multiplying the highest exponent prime factors to calculate the LCM of 37400 and 37408.

LCM(37400,37408) = 2⁵ × 5² × 11¹ × 17¹ × 7¹ × 167¹
LCM(37400,37408) = 174882400