What is the Least Common Multiple of 61848 and 61857?

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 61848 and 61857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61848 and 61857, than apply into the LCM equation.

GCF(61848,61857) = 9
LCM(61848,61857) = ( 61848 × 61857) / 9
LCM(61848,61857) = 3825731736 / 9
LCM(61848,61857) = 425081304

Least Common Multiple (LCM) of 61848 and 61857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61848 and 61857. First we will calculate the prime factors of 61848 and 61857.

Prime Factorization of 61848

Prime Factorization of 61857

Now multiplying the highest exponent prime factors to calculate the LCM of 61848 and 61857.

LCM(61848,61857) = 2³ × 3³ × 859¹ × 29¹ × 79¹
LCM(61848,61857) = 425081304