What is the Least Common Multiple of 47536 and 47550?

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 47550 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 47550, than apply into the LCM equation.

GCF(47536,47550) = 2
LCM(47536,47550) = ( 47536 × 47550) / 2
LCM(47536,47550) = 2260336800 / 2
LCM(47536,47550) = 1130168400

Least Common Multiple (LCM) of 47536 and 47550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47536 and 47550. First we will calculate the prime factors of 47536 and 47550.

Prime Factorization of 47536

Prime Factorization of 47550

Now multiplying the highest exponent prime factors to calculate the LCM of 47536 and 47550.

LCM(47536,47550) = 2⁴ × 2971¹ × 3¹ × 5² × 317¹
LCM(47536,47550) = 1130168400