What is the Least Common Multiple of 67564 and 67582?

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 67564 and 67582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67564 and 67582, than apply into the LCM equation.

GCF(67564,67582) = 2
LCM(67564,67582) = ( 67564 × 67582) / 2
LCM(67564,67582) = 4566110248 / 2
LCM(67564,67582) = 2283055124

Least Common Multiple (LCM) of 67564 and 67582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67564 and 67582. First we will calculate the prime factors of 67564 and 67582.

Prime Factorization of 67564

Prime Factorization of 67582

Now multiplying the highest exponent prime factors to calculate the LCM of 67564 and 67582.

LCM(67564,67582) = 2² × 7¹ × 19¹ × 127¹ × 33791¹
LCM(67564,67582) = 2283055124