What is the Least Common Multiple of 69808 and 69812?

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 69808 and 69812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69808 and 69812, than apply into the LCM equation.

GCF(69808,69812) = 4
LCM(69808,69812) = ( 69808 × 69812) / 4
LCM(69808,69812) = 4873436096 / 4
LCM(69808,69812) = 1218359024

Least Common Multiple (LCM) of 69808 and 69812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69808 and 69812. First we will calculate the prime factors of 69808 and 69812.

Prime Factorization of 69808

Prime Factorization of 69812

Now multiplying the highest exponent prime factors to calculate the LCM of 69808 and 69812.

LCM(69808,69812) = 2⁴ × 4363¹ × 31¹ × 563¹
LCM(69808,69812) = 1218359024