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What is the Least Common Multiple of 7230 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 (LCM) of 7230 and 7236 is 8719380.

LCM(7230,7236) = 8719380

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Least Common Multiple of 7230 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 7230 and 7236, than apply into the LCM equation.

GCF(7230,7236) = 6
LCM(7230,7236) = ( 7230 × 7236) / 6
LCM(7230,7236) = 52316280 / 6
LCM(7230,7236) = 8719380

Least Common Multiple (LCM) of 7230 and 7236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7230 and 7236. First we will calculate the prime factors of 7230 and 7236.

Prime Factorization of 7230

Prime factors of 7230 are 2, 3, 5, 241. Prime factorization of 7230 in exponential form is:

7230 = 21 × 31 × 51 × 2411

Prime Factorization of 7236

Prime factors of 7236 are 2, 3, 67. Prime factorization of 7236 in exponential form is:

7236 = 22 × 33 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 7230 and 7236.

LCM(7230,7236) = 22 × 33 × 51 × 2411 × 671
LCM(7230,7236) = 8719380