What is the Least Common Multiple of 62856 and 62874?

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 62874 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 62874, than apply into the LCM equation.

GCF(62856,62874) = 18
LCM(62856,62874) = ( 62856 × 62874) / 18
LCM(62856,62874) = 3952008144 / 18
LCM(62856,62874) = 219556008

Least Common Multiple (LCM) of 62856 and 62874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62856 and 62874. First we will calculate the prime factors of 62856 and 62874.

Prime Factorization of 62856

Prime Factorization of 62874

Now multiplying the highest exponent prime factors to calculate the LCM of 62856 and 62874.

LCM(62856,62874) = 2³ × 3⁴ × 97¹ × 7¹ × 499¹
LCM(62856,62874) = 219556008