What is the Least Common Multiple of 66720 and 66734?

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 66734 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 66734, than apply into the LCM equation.

GCF(66720,66734) = 2
LCM(66720,66734) = ( 66720 × 66734) / 2
LCM(66720,66734) = 4452492480 / 2
LCM(66720,66734) = 2226246240

Least Common Multiple (LCM) of 66720 and 66734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66720 and 66734. First we will calculate the prime factors of 66720 and 66734.

Prime Factorization of 66720

Prime Factorization of 66734

Now multiplying the highest exponent prime factors to calculate the LCM of 66720 and 66734.

LCM(66720,66734) = 2⁵ × 3¹ × 5¹ × 139¹ × 61¹ × 547¹
LCM(66720,66734) = 2226246240