What is the Least Common Multiple of 47470 and 47479?

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 47470 and 47479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47470 and 47479, than apply into the LCM equation.

GCF(47470,47479) = 1
LCM(47470,47479) = ( 47470 × 47479) / 1
LCM(47470,47479) = 2253828130 / 1
LCM(47470,47479) = 2253828130

Least Common Multiple (LCM) of 47470 and 47479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47470 and 47479. First we will calculate the prime factors of 47470 and 47479.

Prime Factorization of 47470

Prime Factorization of 47479

Now multiplying the highest exponent prime factors to calculate the LCM of 47470 and 47479.

LCM(47470,47479) = 2¹ × 5¹ × 47¹ × 101¹ × 79¹ × 601¹
LCM(47470,47479) = 2253828130