What is the Least Common Multiple of 47546 and 47560?

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 47546 and 47560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47546 and 47560, than apply into the LCM equation.

GCF(47546,47560) = 2
LCM(47546,47560) = ( 47546 × 47560) / 2
LCM(47546,47560) = 2261287760 / 2
LCM(47546,47560) = 1130643880

Least Common Multiple (LCM) of 47546 and 47560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47546 and 47560. First we will calculate the prime factors of 47546 and 47560.

Prime Factorization of 47546

Prime Factorization of 47560

Now multiplying the highest exponent prime factors to calculate the LCM of 47546 and 47560.

LCM(47546,47560) = 2³ × 23773¹ × 5¹ × 29¹ × 41¹
LCM(47546,47560) = 1130643880