What is the Least Common Multiple of 52479 and 52485?

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 52479 and 52485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52479 and 52485, than apply into the LCM equation.

GCF(52479,52485) = 3
LCM(52479,52485) = ( 52479 × 52485) / 3
LCM(52479,52485) = 2754360315 / 3
LCM(52479,52485) = 918120105

Least Common Multiple (LCM) of 52479 and 52485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52479 and 52485. First we will calculate the prime factors of 52479 and 52485.

Prime Factorization of 52479

Prime Factorization of 52485

Now multiplying the highest exponent prime factors to calculate the LCM of 52479 and 52485.

LCM(52479,52485) = 3² × 7³ × 17¹ × 5¹ × 3499¹
LCM(52479,52485) = 918120105