What is the Least Common Multiple of 62574 and 62582?

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 62574 and 62582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62574 and 62582, than apply into the LCM equation.

GCF(62574,62582) = 2
LCM(62574,62582) = ( 62574 × 62582) / 2
LCM(62574,62582) = 3916006068 / 2
LCM(62574,62582) = 1958003034

Least Common Multiple (LCM) of 62574 and 62582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62574 and 62582. First we will calculate the prime factors of 62574 and 62582.

Prime Factorization of 62574

Prime Factorization of 62582

Now multiplying the highest exponent prime factors to calculate the LCM of 62574 and 62582.

LCM(62574,62582) = 2¹ × 3¹ × 10429¹ × 13¹ × 29¹ × 83¹
LCM(62574,62582) = 1958003034