What is the Least Common Multiple of 60912 and 60925?

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 60925 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 60925, than apply into the LCM equation.

GCF(60912,60925) = 1
LCM(60912,60925) = ( 60912 × 60925) / 1
LCM(60912,60925) = 3711063600 / 1
LCM(60912,60925) = 3711063600

Least Common Multiple (LCM) of 60912 and 60925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60912 and 60925. First we will calculate the prime factors of 60912 and 60925.

Prime Factorization of 60912

Prime Factorization of 60925

Now multiplying the highest exponent prime factors to calculate the LCM of 60912 and 60925.

LCM(60912,60925) = 2⁴ × 3⁴ × 47¹ × 5² × 2437¹
LCM(60912,60925) = 3711063600