What is the Least Common Multiple of 60720 and 60729?

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 60720 and 60729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60720 and 60729, than apply into the LCM equation.

GCF(60720,60729) = 3
LCM(60720,60729) = ( 60720 × 60729) / 3
LCM(60720,60729) = 3687464880 / 3
LCM(60720,60729) = 1229154960

Least Common Multiple (LCM) of 60720 and 60729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60720 and 60729. First we will calculate the prime factors of 60720 and 60729.

Prime Factorization of 60720

Prime Factorization of 60729

Now multiplying the highest exponent prime factors to calculate the LCM of 60720 and 60729.

LCM(60720,60729) = 2⁴ × 3¹ × 5¹ × 11¹ × 23¹ × 31¹ × 653¹
LCM(60720,60729) = 1229154960