What is the Least Common Multiple of 66660 and 66678?

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 66660 and 66678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66660 and 66678, than apply into the LCM equation.

GCF(66660,66678) = 6
LCM(66660,66678) = ( 66660 × 66678) / 6
LCM(66660,66678) = 4444755480 / 6
LCM(66660,66678) = 740792580

Least Common Multiple (LCM) of 66660 and 66678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66660 and 66678. First we will calculate the prime factors of 66660 and 66678.

Prime Factorization of 66660

Prime Factorization of 66678

Now multiplying the highest exponent prime factors to calculate the LCM of 66660 and 66678.

LCM(66660,66678) = 2² × 3¹ × 5¹ × 11¹ × 101¹ × 11113¹
LCM(66660,66678) = 740792580