What is the Least Common Multiple of 47556 and 47565?

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 47556 and 47565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47556 and 47565, than apply into the LCM equation.

GCF(47556,47565) = 9
LCM(47556,47565) = ( 47556 × 47565) / 9
LCM(47556,47565) = 2262001140 / 9
LCM(47556,47565) = 251333460

Least Common Multiple (LCM) of 47556 and 47565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47556 and 47565. First we will calculate the prime factors of 47556 and 47565.

Prime Factorization of 47556

Prime Factorization of 47565

Now multiplying the highest exponent prime factors to calculate the LCM of 47556 and 47565.

LCM(47556,47565) = 2² × 3² × 1321¹ × 5¹ × 7¹ × 151¹
LCM(47556,47565) = 251333460