What is the Least Common Multiple of 62856 and 62865?

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 62856 and 62865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62856 and 62865, than apply into the LCM equation.

GCF(62856,62865) = 9
LCM(62856,62865) = ( 62856 × 62865) / 9
LCM(62856,62865) = 3951442440 / 9
LCM(62856,62865) = 439049160

Least Common Multiple (LCM) of 62856 and 62865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62856 and 62865. First we will calculate the prime factors of 62856 and 62865.

Prime Factorization of 62856

Prime Factorization of 62865

Now multiplying the highest exponent prime factors to calculate the LCM of 62856 and 62865.

LCM(62856,62865) = 2³ × 3⁴ × 97¹ × 5¹ × 11¹ × 127¹
LCM(62856,62865) = 439049160