What is the Least Common Multiple of 4536 and 4550?

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 4536 and 4550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4536 and 4550, than apply into the LCM equation.

GCF(4536,4550) = 14
LCM(4536,4550) = ( 4536 × 4550) / 14
LCM(4536,4550) = 20638800 / 14
LCM(4536,4550) = 1474200

Least Common Multiple (LCM) of 4536 and 4550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4536 and 4550. First we will calculate the prime factors of 4536 and 4550.

Prime Factorization of 4536

Prime Factorization of 4550

Now multiplying the highest exponent prime factors to calculate the LCM of 4536 and 4550.

LCM(4536,4550) = 2³ × 3⁴ × 7¹ × 5² × 13¹
LCM(4536,4550) = 1474200