What is the Least Common Multiple of 61854 and 61870?

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 61854 and 61870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61854 and 61870, than apply into the LCM equation.

GCF(61854,61870) = 2
LCM(61854,61870) = ( 61854 × 61870) / 2
LCM(61854,61870) = 3826906980 / 2
LCM(61854,61870) = 1913453490

Least Common Multiple (LCM) of 61854 and 61870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61854 and 61870. First we will calculate the prime factors of 61854 and 61870.

Prime Factorization of 61854

Prime Factorization of 61870

Now multiplying the highest exponent prime factors to calculate the LCM of 61854 and 61870.

LCM(61854,61870) = 2¹ × 3¹ × 13² × 61¹ × 5¹ × 23¹ × 269¹
LCM(61854,61870) = 1913453490