What is the Least Common Multiple of 61857 and 61873?

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 61857 and 61873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61857 and 61873, than apply into the LCM equation.

GCF(61857,61873) = 1
LCM(61857,61873) = ( 61857 × 61873) / 1
LCM(61857,61873) = 3827278161 / 1
LCM(61857,61873) = 3827278161

Least Common Multiple (LCM) of 61857 and 61873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61857 and 61873. First we will calculate the prime factors of 61857 and 61873.

Prime Factorization of 61857

Prime Factorization of 61873

Now multiplying the highest exponent prime factors to calculate the LCM of 61857 and 61873.

LCM(61857,61873) = 3³ × 29¹ × 79¹ × 7¹ × 8839¹
LCM(61857,61873) = 3827278161