What is the Least Common Multiple of 77562 and 77582?

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 77562 and 77582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77562 and 77582, than apply into the LCM equation.

GCF(77562,77582) = 2
LCM(77562,77582) = ( 77562 × 77582) / 2
LCM(77562,77582) = 6017415084 / 2
LCM(77562,77582) = 3008707542

Least Common Multiple (LCM) of 77562 and 77582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77562 and 77582. First we will calculate the prime factors of 77562 and 77582.

Prime Factorization of 77562

Prime Factorization of 77582

Now multiplying the highest exponent prime factors to calculate the LCM of 77562 and 77582.

LCM(77562,77582) = 2¹ × 3² × 31¹ × 139¹ × 38791¹
LCM(77562,77582) = 3008707542