What is the Least Common Multiple of 60849 and 60864?

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 60849 and 60864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60849 and 60864, than apply into the LCM equation.

GCF(60849,60864) = 3
LCM(60849,60864) = ( 60849 × 60864) / 3
LCM(60849,60864) = 3703513536 / 3
LCM(60849,60864) = 1234504512

Least Common Multiple (LCM) of 60849 and 60864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60849 and 60864. First we will calculate the prime factors of 60849 and 60864.

Prime Factorization of 60849

Prime Factorization of 60864

Now multiplying the highest exponent prime factors to calculate the LCM of 60849 and 60864.

LCM(60849,60864) = 3² × 6761¹ × 2⁶ × 317¹
LCM(60849,60864) = 1234504512