What is the Least Common Multiple of 60849 and 60867?

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 60867 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 60867, than apply into the LCM equation.

GCF(60849,60867) = 9
LCM(60849,60867) = ( 60849 × 60867) / 9
LCM(60849,60867) = 3703696083 / 9
LCM(60849,60867) = 411521787

Least Common Multiple (LCM) of 60849 and 60867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60849 and 60867. First we will calculate the prime factors of 60849 and 60867.

Prime Factorization of 60849

Prime Factorization of 60867

Now multiplying the highest exponent prime factors to calculate the LCM of 60849 and 60867.

LCM(60849,60867) = 3² × 6761¹ × 6763¹
LCM(60849,60867) = 411521787