What is the Least Common Multiple of 47480 and 47493?

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 47480 and 47493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47480 and 47493, than apply into the LCM equation.

GCF(47480,47493) = 1
LCM(47480,47493) = ( 47480 × 47493) / 1
LCM(47480,47493) = 2254967640 / 1
LCM(47480,47493) = 2254967640

Least Common Multiple (LCM) of 47480 and 47493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47480 and 47493. First we will calculate the prime factors of 47480 and 47493.

Prime Factorization of 47480

Prime Factorization of 47493

Now multiplying the highest exponent prime factors to calculate the LCM of 47480 and 47493.

LCM(47480,47493) = 2³ × 5¹ × 1187¹ × 3³ × 1759¹
LCM(47480,47493) = 2254967640