What is the Least Common Multiple of 6236 and 6252?

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 6236 and 6252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6236 and 6252, than apply into the LCM equation.

GCF(6236,6252) = 4
LCM(6236,6252) = ( 6236 × 6252) / 4
LCM(6236,6252) = 38987472 / 4
LCM(6236,6252) = 9746868

Least Common Multiple (LCM) of 6236 and 6252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6236 and 6252. First we will calculate the prime factors of 6236 and 6252.

Prime Factorization of 6236

Prime Factorization of 6252

Now multiplying the highest exponent prime factors to calculate the LCM of 6236 and 6252.

LCM(6236,6252) = 2² × 1559¹ × 3¹ × 521¹
LCM(6236,6252) = 9746868