What is the Least Common Multiple of 37564 and 37582?

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 37564 and 37582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37564 and 37582, than apply into the LCM equation.

GCF(37564,37582) = 2
LCM(37564,37582) = ( 37564 × 37582) / 2
LCM(37564,37582) = 1411730248 / 2
LCM(37564,37582) = 705865124

Least Common Multiple (LCM) of 37564 and 37582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37564 and 37582. First we will calculate the prime factors of 37564 and 37582.

Prime Factorization of 37564

Prime Factorization of 37582

Now multiplying the highest exponent prime factors to calculate the LCM of 37564 and 37582.

LCM(37564,37582) = 2² × 9391¹ × 19¹ × 23¹ × 43¹
LCM(37564,37582) = 705865124