What is the Least Common Multiple of 60768 and 60777?

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 60768 and 60777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60768 and 60777, than apply into the LCM equation.

GCF(60768,60777) = 9
LCM(60768,60777) = ( 60768 × 60777) / 9
LCM(60768,60777) = 3693296736 / 9
LCM(60768,60777) = 410366304

Least Common Multiple (LCM) of 60768 and 60777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60768 and 60777. First we will calculate the prime factors of 60768 and 60777.

Prime Factorization of 60768

Prime Factorization of 60777

Now multiplying the highest exponent prime factors to calculate the LCM of 60768 and 60777.

LCM(60768,60777) = 2⁵ × 3³ × 211¹ × 2251¹
LCM(60768,60777) = 410366304