What is the Least Common Multiple of 62874 and 62888?

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 62874 and 62888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62874 and 62888, than apply into the LCM equation.

GCF(62874,62888) = 14
LCM(62874,62888) = ( 62874 × 62888) / 14
LCM(62874,62888) = 3954020112 / 14
LCM(62874,62888) = 282430008

Least Common Multiple (LCM) of 62874 and 62888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62874 and 62888. First we will calculate the prime factors of 62874 and 62888.

Prime Factorization of 62874

Prime Factorization of 62888

Now multiplying the highest exponent prime factors to calculate the LCM of 62874 and 62888.

LCM(62874,62888) = 2³ × 3² × 7¹ × 499¹ × 1123¹
LCM(62874,62888) = 282430008