What is the Least Common Multiple of 66840 and 66860?

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 66860 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 66860, than apply into the LCM equation.

GCF(66840,66860) = 20
LCM(66840,66860) = ( 66840 × 66860) / 20
LCM(66840,66860) = 4468922400 / 20
LCM(66840,66860) = 223446120

Least Common Multiple (LCM) of 66840 and 66860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66840 and 66860. First we will calculate the prime factors of 66840 and 66860.

Prime Factorization of 66840

Prime Factorization of 66860

Now multiplying the highest exponent prime factors to calculate the LCM of 66840 and 66860.

LCM(66840,66860) = 2³ × 3¹ × 5¹ × 557¹ × 3343¹
LCM(66840,66860) = 223446120