What is the Least Common Multiple of 69708 and 69723?

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 69708 and 69723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69708 and 69723, than apply into the LCM equation.

GCF(69708,69723) = 3
LCM(69708,69723) = ( 69708 × 69723) / 3
LCM(69708,69723) = 4860250884 / 3
LCM(69708,69723) = 1620083628

Least Common Multiple (LCM) of 69708 and 69723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69708 and 69723. First we will calculate the prime factors of 69708 and 69723.

Prime Factorization of 69708

Prime Factorization of 69723

Now multiplying the highest exponent prime factors to calculate the LCM of 69708 and 69723.

LCM(69708,69723) = 2² × 3² × 37¹ × 157¹ × 61¹ × 127¹
LCM(69708,69723) = 1620083628