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What is the Least Common Multiple of 7234 and 7248?

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 7234 and 7248 is 26216016.

LCM(7234,7248) = 26216016

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Least Common Multiple of 7234 and 7248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7234 and 7248, than apply into the LCM equation.

GCF(7234,7248) = 2
LCM(7234,7248) = ( 7234 × 7248) / 2
LCM(7234,7248) = 52432032 / 2
LCM(7234,7248) = 26216016

Least Common Multiple (LCM) of 7234 and 7248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7234 and 7248. First we will calculate the prime factors of 7234 and 7248.

Prime Factorization of 7234

Prime factors of 7234 are 2, 3617. Prime factorization of 7234 in exponential form is:

7234 = 21 × 36171

Prime Factorization of 7248

Prime factors of 7248 are 2, 3, 151. Prime factorization of 7248 in exponential form is:

7248 = 24 × 31 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7234 and 7248.

LCM(7234,7248) = 24 × 36171 × 31 × 1511
LCM(7234,7248) = 26216016