What is the Least Common Multiple of 40854 and 40870?

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 40854 and 40870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40854 and 40870, than apply into the LCM equation.

GCF(40854,40870) = 2
LCM(40854,40870) = ( 40854 × 40870) / 2
LCM(40854,40870) = 1669702980 / 2
LCM(40854,40870) = 834851490

Least Common Multiple (LCM) of 40854 and 40870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40854 and 40870. First we will calculate the prime factors of 40854 and 40870.

Prime Factorization of 40854

Prime Factorization of 40870

Now multiplying the highest exponent prime factors to calculate the LCM of 40854 and 40870.

LCM(40854,40870) = 2¹ × 3¹ × 11¹ × 619¹ × 5¹ × 61¹ × 67¹
LCM(40854,40870) = 834851490