What is the Least Common Multiple of 60660 and 60672?

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 60660 and 60672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60660 and 60672, than apply into the LCM equation.

GCF(60660,60672) = 12
LCM(60660,60672) = ( 60660 × 60672) / 12
LCM(60660,60672) = 3680363520 / 12
LCM(60660,60672) = 306696960

Least Common Multiple (LCM) of 60660 and 60672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60660 and 60672. First we will calculate the prime factors of 60660 and 60672.

Prime Factorization of 60660

Prime Factorization of 60672

Now multiplying the highest exponent prime factors to calculate the LCM of 60660 and 60672.

LCM(60660,60672) = 2⁸ × 3² × 5¹ × 337¹ × 79¹
LCM(60660,60672) = 306696960