What is the Least Common Multiple of 69657 and 69672?

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 69657 and 69672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69657 and 69672, than apply into the LCM equation.

GCF(69657,69672) = 3
LCM(69657,69672) = ( 69657 × 69672) / 3
LCM(69657,69672) = 4853142504 / 3
LCM(69657,69672) = 1617714168

Least Common Multiple (LCM) of 69657 and 69672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69657 and 69672. First we will calculate the prime factors of 69657 and 69672.

Prime Factorization of 69657

Prime Factorization of 69672

Now multiplying the highest exponent prime factors to calculate the LCM of 69657 and 69672.

LCM(69657,69672) = 3¹ × 7¹ × 31¹ × 107¹ × 2³ × 2903¹
LCM(69657,69672) = 1617714168