What is the Least Common Multiple of 7224 and 7236?

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 7224 and 7236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7224 and 7236, than apply into the LCM equation.

GCF(7224,7236) = 12
LCM(7224,7236) = ( 7224 × 7236) / 12
LCM(7224,7236) = 52272864 / 12
LCM(7224,7236) = 4356072

Least Common Multiple (LCM) of 7224 and 7236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7224 and 7236. First we will calculate the prime factors of 7224 and 7236.

Prime Factorization of 7224

Prime Factorization of 7236

Now multiplying the highest exponent prime factors to calculate the LCM of 7224 and 7236.

LCM(7224,7236) = 2³ × 3³ × 7¹ × 43¹ × 67¹
LCM(7224,7236) = 4356072