What is the Least Common Multiple of 52698 and 52704?

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 52698 and 52704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52698 and 52704, than apply into the LCM equation.

GCF(52698,52704) = 6
LCM(52698,52704) = ( 52698 × 52704) / 6
LCM(52698,52704) = 2777395392 / 6
LCM(52698,52704) = 462899232

Least Common Multiple (LCM) of 52698 and 52704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52698 and 52704. First we will calculate the prime factors of 52698 and 52704.

Prime Factorization of 52698

Prime Factorization of 52704

Now multiplying the highest exponent prime factors to calculate the LCM of 52698 and 52704.

LCM(52698,52704) = 2⁵ × 3³ × 8783¹ × 61¹
LCM(52698,52704) = 462899232