What is the Least Common Multiple of 79650 and 79668?

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 79650 and 79668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79650 and 79668, than apply into the LCM equation.

GCF(79650,79668) = 18
LCM(79650,79668) = ( 79650 × 79668) / 18
LCM(79650,79668) = 6345556200 / 18
LCM(79650,79668) = 352530900

Least Common Multiple (LCM) of 79650 and 79668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79650 and 79668. First we will calculate the prime factors of 79650 and 79668.

Prime Factorization of 79650

Prime Factorization of 79668

Now multiplying the highest exponent prime factors to calculate the LCM of 79650 and 79668.

LCM(79650,79668) = 2² × 3³ × 5² × 59¹ × 2213¹
LCM(79650,79668) = 352530900