What is the Least Common Multiple of 56530 and 56540?

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 56530 and 56540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56530 and 56540, than apply into the LCM equation.

GCF(56530,56540) = 10
LCM(56530,56540) = ( 56530 × 56540) / 10
LCM(56530,56540) = 3196206200 / 10
LCM(56530,56540) = 319620620

Least Common Multiple (LCM) of 56530 and 56540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56530 and 56540. First we will calculate the prime factors of 56530 and 56540.

Prime Factorization of 56530

Prime Factorization of 56540

Now multiplying the highest exponent prime factors to calculate the LCM of 56530 and 56540.

LCM(56530,56540) = 2² × 5¹ × 5653¹ × 11¹ × 257¹
LCM(56530,56540) = 319620620