What is the Least Common Multiple of 61530 and 61544?

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 61544 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 61544, than apply into the LCM equation.

GCF(61530,61544) = 14
LCM(61530,61544) = ( 61530 × 61544) / 14
LCM(61530,61544) = 3786802320 / 14
LCM(61530,61544) = 270485880

Least Common Multiple (LCM) of 61530 and 61544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61530 and 61544. First we will calculate the prime factors of 61530 and 61544.

Prime Factorization of 61530

Prime Factorization of 61544

Now multiplying the highest exponent prime factors to calculate the LCM of 61530 and 61544.

LCM(61530,61544) = 2³ × 3¹ × 5¹ × 7² × 293¹ × 157¹
LCM(61530,61544) = 270485880