What is the Least Common Multiple of 47880 and 47885?

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 47880 and 47885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47880 and 47885, than apply into the LCM equation.

GCF(47880,47885) = 5
LCM(47880,47885) = ( 47880 × 47885) / 5
LCM(47880,47885) = 2292733800 / 5
LCM(47880,47885) = 458546760

Least Common Multiple (LCM) of 47880 and 47885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47880 and 47885. First we will calculate the prime factors of 47880 and 47885.

Prime Factorization of 47880

Prime Factorization of 47885

Now multiplying the highest exponent prime factors to calculate the LCM of 47880 and 47885.

LCM(47880,47885) = 2³ × 3² × 5¹ × 7¹ × 19¹ × 61¹ × 157¹
LCM(47880,47885) = 458546760