What is the Least Common Multiple of 60831 and 60849?

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 60831 and 60849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60831 and 60849, than apply into the LCM equation.

GCF(60831,60849) = 9
LCM(60831,60849) = ( 60831 × 60849) / 9
LCM(60831,60849) = 3701505519 / 9
LCM(60831,60849) = 411278391

Least Common Multiple (LCM) of 60831 and 60849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60831 and 60849. First we will calculate the prime factors of 60831 and 60849.

Prime Factorization of 60831

Prime Factorization of 60849

Now multiplying the highest exponent prime factors to calculate the LCM of 60831 and 60849.

LCM(60831,60849) = 3⁴ × 751¹ × 6761¹
LCM(60831,60849) = 411278391