What is the Least Common Multiple of 69744 and 69764?

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 69744 and 69764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69744 and 69764, than apply into the LCM equation.

GCF(69744,69764) = 4
LCM(69744,69764) = ( 69744 × 69764) / 4
LCM(69744,69764) = 4865620416 / 4
LCM(69744,69764) = 1216405104

Least Common Multiple (LCM) of 69744 and 69764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69744 and 69764. First we will calculate the prime factors of 69744 and 69764.

Prime Factorization of 69744

Prime Factorization of 69764

Now multiplying the highest exponent prime factors to calculate the LCM of 69744 and 69764.

LCM(69744,69764) = 2⁴ × 3¹ × 1453¹ × 107¹ × 163¹
LCM(69744,69764) = 1216405104