What is the Least Common Multiple of 49572 and 49582?

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 49572 and 49582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49572 and 49582, than apply into the LCM equation.

GCF(49572,49582) = 2
LCM(49572,49582) = ( 49572 × 49582) / 2
LCM(49572,49582) = 2457878904 / 2
LCM(49572,49582) = 1228939452

Least Common Multiple (LCM) of 49572 and 49582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49572 and 49582. First we will calculate the prime factors of 49572 and 49582.

Prime Factorization of 49572

Prime Factorization of 49582

Now multiplying the highest exponent prime factors to calculate the LCM of 49572 and 49582.

LCM(49572,49582) = 2² × 3⁶ × 17¹ × 13¹ × 1907¹
LCM(49572,49582) = 1228939452