What is the Least Common Multiple of 76946 and 76962?

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 76946 and 76962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76946 and 76962, than apply into the LCM equation.

GCF(76946,76962) = 2
LCM(76946,76962) = ( 76946 × 76962) / 2
LCM(76946,76962) = 5921918052 / 2
LCM(76946,76962) = 2960959026

Least Common Multiple (LCM) of 76946 and 76962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76946 and 76962. First we will calculate the prime factors of 76946 and 76962.

Prime Factorization of 76946

Prime Factorization of 76962

Now multiplying the highest exponent prime factors to calculate the LCM of 76946 and 76962.

LCM(76946,76962) = 2¹ × 79¹ × 487¹ × 3¹ × 101¹ × 127¹
LCM(76946,76962) = 2960959026