What is the Least Common Multiple of 47536 and 47541?

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 47536 and 47541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47536 and 47541, than apply into the LCM equation.

GCF(47536,47541) = 1
LCM(47536,47541) = ( 47536 × 47541) / 1
LCM(47536,47541) = 2259908976 / 1
LCM(47536,47541) = 2259908976

Least Common Multiple (LCM) of 47536 and 47541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47536 and 47541. First we will calculate the prime factors of 47536 and 47541.

Prime Factorization of 47536

Prime Factorization of 47541

Now multiplying the highest exponent prime factors to calculate the LCM of 47536 and 47541.

LCM(47536,47541) = 2⁴ × 2971¹ × 3¹ × 13¹ × 23¹ × 53¹
LCM(47536,47541) = 2259908976