What is the Least Common Multiple of 79946 and 79962?

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 79946 and 79962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79946 and 79962, than apply into the LCM equation.

GCF(79946,79962) = 2
LCM(79946,79962) = ( 79946 × 79962) / 2
LCM(79946,79962) = 6392642052 / 2
LCM(79946,79962) = 3196321026

Least Common Multiple (LCM) of 79946 and 79962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79946 and 79962. First we will calculate the prime factors of 79946 and 79962.

Prime Factorization of 79946

Prime Factorization of 79962

Now multiplying the highest exponent prime factors to calculate the LCM of 79946 and 79962.

LCM(79946,79962) = 2¹ × 71¹ × 563¹ × 3¹ × 13327¹
LCM(79946,79962) = 3196321026