What is the Least Common Multiple of 69900 and 69912?

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 69900 and 69912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69900 and 69912, than apply into the LCM equation.

GCF(69900,69912) = 12
LCM(69900,69912) = ( 69900 × 69912) / 12
LCM(69900,69912) = 4886848800 / 12
LCM(69900,69912) = 407237400

Least Common Multiple (LCM) of 69900 and 69912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69900 and 69912. First we will calculate the prime factors of 69900 and 69912.

Prime Factorization of 69900

Prime Factorization of 69912

Now multiplying the highest exponent prime factors to calculate the LCM of 69900 and 69912.

LCM(69900,69912) = 2³ × 3² × 5² × 233¹ × 971¹
LCM(69900,69912) = 407237400