What is the Least Common Multiple of 4540 and 4560?

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 4540 and 4560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4540 and 4560, than apply into the LCM equation.

GCF(4540,4560) = 20
LCM(4540,4560) = ( 4540 × 4560) / 20
LCM(4540,4560) = 20702400 / 20
LCM(4540,4560) = 1035120

Least Common Multiple (LCM) of 4540 and 4560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4540 and 4560. First we will calculate the prime factors of 4540 and 4560.

Prime Factorization of 4540

Prime Factorization of 4560

Now multiplying the highest exponent prime factors to calculate the LCM of 4540 and 4560.

LCM(4540,4560) = 2⁴ × 5¹ × 227¹ × 3¹ × 19¹
LCM(4540,4560) = 1035120