What is the Least Common Multiple of 47548 and 47567?

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 47548 and 47567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47548 and 47567, than apply into the LCM equation.

GCF(47548,47567) = 1
LCM(47548,47567) = ( 47548 × 47567) / 1
LCM(47548,47567) = 2261715716 / 1
LCM(47548,47567) = 2261715716

Least Common Multiple (LCM) of 47548 and 47567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47548 and 47567. First we will calculate the prime factors of 47548 and 47567.

Prime Factorization of 47548

Prime Factorization of 47567

Now multiplying the highest exponent prime factors to calculate the LCM of 47548 and 47567.

LCM(47548,47567) = 2² × 11887¹ × 13¹ × 3659¹
LCM(47548,47567) = 2261715716