What is the Least Common Multiple of 7236 and 7254?

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 7236 and 7254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7236 and 7254, than apply into the LCM equation.

GCF(7236,7254) = 18
LCM(7236,7254) = ( 7236 × 7254) / 18
LCM(7236,7254) = 52489944 / 18
LCM(7236,7254) = 2916108

Least Common Multiple (LCM) of 7236 and 7254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7236 and 7254. First we will calculate the prime factors of 7236 and 7254.

Prime Factorization of 7236

Prime Factorization of 7254

Now multiplying the highest exponent prime factors to calculate the LCM of 7236 and 7254.

LCM(7236,7254) = 2² × 3³ × 67¹ × 13¹ × 31¹
LCM(7236,7254) = 2916108