What is the Least Common Multiple of 69812 and 69824?

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 69812 and 69824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69812 and 69824, than apply into the LCM equation.

GCF(69812,69824) = 4
LCM(69812,69824) = ( 69812 × 69824) / 4
LCM(69812,69824) = 4874553088 / 4
LCM(69812,69824) = 1218638272

Least Common Multiple (LCM) of 69812 and 69824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69812 and 69824. First we will calculate the prime factors of 69812 and 69824.

Prime Factorization of 69812

Prime Factorization of 69824

Now multiplying the highest exponent prime factors to calculate the LCM of 69812 and 69824.

LCM(69812,69824) = 2⁶ × 31¹ × 563¹ × 1091¹
LCM(69812,69824) = 1218638272