What is the Least Common Multiple of 4520 and 4540?

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 4520 and 4540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4520 and 4540, than apply into the LCM equation.

GCF(4520,4540) = 20
LCM(4520,4540) = ( 4520 × 4540) / 20
LCM(4520,4540) = 20520800 / 20
LCM(4520,4540) = 1026040

Least Common Multiple (LCM) of 4520 and 4540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4520 and 4540. First we will calculate the prime factors of 4520 and 4540.

Prime Factorization of 4520

Prime Factorization of 4540

Now multiplying the highest exponent prime factors to calculate the LCM of 4520 and 4540.

LCM(4520,4540) = 2³ × 5¹ × 113¹ × 227¹
LCM(4520,4540) = 1026040