What is the Least Common Multiple of 77346 and 77356?

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 77346 and 77356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77346 and 77356, than apply into the LCM equation.

GCF(77346,77356) = 2
LCM(77346,77356) = ( 77346 × 77356) / 2
LCM(77346,77356) = 5983177176 / 2
LCM(77346,77356) = 2991588588

Least Common Multiple (LCM) of 77346 and 77356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77346 and 77356. First we will calculate the prime factors of 77346 and 77356.

Prime Factorization of 77346

Prime Factorization of 77356

Now multiplying the highest exponent prime factors to calculate the LCM of 77346 and 77356.

LCM(77346,77356) = 2² × 3² × 4297¹ × 83¹ × 233¹
LCM(77346,77356) = 2991588588