What is the Least Common Multiple of 76356 and 76362?

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 76356 and 76362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76356 and 76362, than apply into the LCM equation.

GCF(76356,76362) = 6
LCM(76356,76362) = ( 76356 × 76362) / 6
LCM(76356,76362) = 5830696872 / 6
LCM(76356,76362) = 971782812

Least Common Multiple (LCM) of 76356 and 76362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76356 and 76362. First we will calculate the prime factors of 76356 and 76362.

Prime Factorization of 76356

Prime Factorization of 76362

Now multiplying the highest exponent prime factors to calculate the LCM of 76356 and 76362.

LCM(76356,76362) = 2² × 3³ × 7¹ × 101¹ × 11¹ × 13¹ × 89¹
LCM(76356,76362) = 971782812