What is the Least Common Multiple of 52096 and 52108?

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 52096 and 52108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52096 and 52108, than apply into the LCM equation.

GCF(52096,52108) = 4
LCM(52096,52108) = ( 52096 × 52108) / 4
LCM(52096,52108) = 2714618368 / 4
LCM(52096,52108) = 678654592

Least Common Multiple (LCM) of 52096 and 52108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52096 and 52108. First we will calculate the prime factors of 52096 and 52108.

Prime Factorization of 52096

Prime Factorization of 52108

Now multiplying the highest exponent prime factors to calculate the LCM of 52096 and 52108.

LCM(52096,52108) = 2⁷ × 11¹ × 37¹ × 7¹ × 1861¹
LCM(52096,52108) = 678654592