What is the Least Common Multiple of 66840 and 66854?

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 66840 and 66854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66840 and 66854, than apply into the LCM equation.

GCF(66840,66854) = 2
LCM(66840,66854) = ( 66840 × 66854) / 2
LCM(66840,66854) = 4468521360 / 2
LCM(66840,66854) = 2234260680

Least Common Multiple (LCM) of 66840 and 66854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66840 and 66854. First we will calculate the prime factors of 66840 and 66854.

Prime Factorization of 66840

Prime Factorization of 66854

Now multiplying the highest exponent prime factors to calculate the LCM of 66840 and 66854.

LCM(66840,66854) = 2³ × 3¹ × 5¹ × 557¹ × 33427¹
LCM(66840,66854) = 2234260680