What is the Least Common Multiple of 52470 and 52479?

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 52470 and 52479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52470 and 52479, than apply into the LCM equation.

GCF(52470,52479) = 9
LCM(52470,52479) = ( 52470 × 52479) / 9
LCM(52470,52479) = 2753573130 / 9
LCM(52470,52479) = 305952570

Least Common Multiple (LCM) of 52470 and 52479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52470 and 52479. First we will calculate the prime factors of 52470 and 52479.

Prime Factorization of 52470

Prime Factorization of 52479

Now multiplying the highest exponent prime factors to calculate the LCM of 52470 and 52479.

LCM(52470,52479) = 2¹ × 3² × 5¹ × 11¹ × 53¹ × 7³ × 17¹
LCM(52470,52479) = 305952570