What is the Least Common Multiple of 60912 and 60928?

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 60912 and 60928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60912 and 60928, than apply into the LCM equation.

GCF(60912,60928) = 16
LCM(60912,60928) = ( 60912 × 60928) / 16
LCM(60912,60928) = 3711246336 / 16
LCM(60912,60928) = 231952896

Least Common Multiple (LCM) of 60912 and 60928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60912 and 60928. First we will calculate the prime factors of 60912 and 60928.

Prime Factorization of 60912

Prime Factorization of 60928

Now multiplying the highest exponent prime factors to calculate the LCM of 60912 and 60928.

LCM(60912,60928) = 2⁹ × 3⁴ × 47¹ × 7¹ × 17¹
LCM(60912,60928) = 231952896