What is the Least Common Multiple of 66720 and 66740?

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 66720 and 66740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66720 and 66740, than apply into the LCM equation.

GCF(66720,66740) = 20
LCM(66720,66740) = ( 66720 × 66740) / 20
LCM(66720,66740) = 4452892800 / 20
LCM(66720,66740) = 222644640

Least Common Multiple (LCM) of 66720 and 66740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66720 and 66740. First we will calculate the prime factors of 66720 and 66740.

Prime Factorization of 66720

Prime Factorization of 66740

Now multiplying the highest exponent prime factors to calculate the LCM of 66720 and 66740.

LCM(66720,66740) = 2⁵ × 3¹ × 5¹ × 139¹ × 47¹ × 71¹
LCM(66720,66740) = 222644640