What is the Least Common Multiple of 77792 and 77812?

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 77792 and 77812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77792 and 77812, than apply into the LCM equation.

GCF(77792,77812) = 4
LCM(77792,77812) = ( 77792 × 77812) / 4
LCM(77792,77812) = 6053151104 / 4
LCM(77792,77812) = 1513287776

Least Common Multiple (LCM) of 77792 and 77812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77792 and 77812. First we will calculate the prime factors of 77792 and 77812.

Prime Factorization of 77792

Prime Factorization of 77812

Now multiplying the highest exponent prime factors to calculate the LCM of 77792 and 77812.

LCM(77792,77812) = 2⁵ × 11¹ × 13¹ × 17¹ × 7² × 397¹
LCM(77792,77812) = 1513287776