What is the Least Common Multiple of 69396 and 69416?

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 69396 and 69416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69396 and 69416, than apply into the LCM equation.

GCF(69396,69416) = 4
LCM(69396,69416) = ( 69396 × 69416) / 4
LCM(69396,69416) = 4817192736 / 4
LCM(69396,69416) = 1204298184

Least Common Multiple (LCM) of 69396 and 69416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69396 and 69416. First we will calculate the prime factors of 69396 and 69416.

Prime Factorization of 69396

Prime Factorization of 69416

Now multiplying the highest exponent prime factors to calculate the LCM of 69396 and 69416.

LCM(69396,69416) = 2³ × 3¹ × 5783¹ × 8677¹
LCM(69396,69416) = 1204298184