What is the Least Common Multiple of 37408 and 37415?

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 37408 and 37415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37408 and 37415, than apply into the LCM equation.

GCF(37408,37415) = 7
LCM(37408,37415) = ( 37408 × 37415) / 7
LCM(37408,37415) = 1399620320 / 7
LCM(37408,37415) = 199945760

Least Common Multiple (LCM) of 37408 and 37415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37408 and 37415. First we will calculate the prime factors of 37408 and 37415.

Prime Factorization of 37408

Prime Factorization of 37415

Now multiplying the highest exponent prime factors to calculate the LCM of 37408 and 37415.

LCM(37408,37415) = 2⁵ × 7¹ × 167¹ × 5¹ × 1069¹
LCM(37408,37415) = 199945760