What is the Least Common Multiple of 61530 and 61538?

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 61530 and 61538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61530 and 61538, than apply into the LCM equation.

GCF(61530,61538) = 2
LCM(61530,61538) = ( 61530 × 61538) / 2
LCM(61530,61538) = 3786433140 / 2
LCM(61530,61538) = 1893216570

Least Common Multiple (LCM) of 61530 and 61538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61530 and 61538. First we will calculate the prime factors of 61530 and 61538.

Prime Factorization of 61530

Prime Factorization of 61538

Now multiplying the highest exponent prime factors to calculate the LCM of 61530 and 61538.

LCM(61530,61538) = 2¹ × 3¹ × 5¹ × 7¹ × 293¹ × 29¹ × 1061¹
LCM(61530,61538) = 1893216570