What is the Least Common Multiple of 69978 and 69984?

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 69978 and 69984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69978 and 69984, than apply into the LCM equation.

GCF(69978,69984) = 6
LCM(69978,69984) = ( 69978 × 69984) / 6
LCM(69978,69984) = 4897340352 / 6
LCM(69978,69984) = 816223392

Least Common Multiple (LCM) of 69978 and 69984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69978 and 69984. First we will calculate the prime factors of 69978 and 69984.

Prime Factorization of 69978

Prime Factorization of 69984

Now multiplying the highest exponent prime factors to calculate the LCM of 69978 and 69984.

LCM(69978,69984) = 2⁵ × 3⁷ × 107¹ × 109¹
LCM(69978,69984) = 816223392