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What is the Least Common Multiple of 7467 and 7480?

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 7467 and 7480 is 55853160.

LCM(7467,7480) = 55853160

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Least Common Multiple of 7467 and 7480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7467 and 7480, than apply into the LCM equation.

GCF(7467,7480) = 1
LCM(7467,7480) = ( 7467 × 7480) / 1
LCM(7467,7480) = 55853160 / 1
LCM(7467,7480) = 55853160

Least Common Multiple (LCM) of 7467 and 7480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7467 and 7480. First we will calculate the prime factors of 7467 and 7480.

Prime Factorization of 7467

Prime factors of 7467 are 3, 19, 131. Prime factorization of 7467 in exponential form is:

7467 = 31 × 191 × 1311

Prime Factorization of 7480

Prime factors of 7480 are 2, 5, 11, 17. Prime factorization of 7480 in exponential form is:

7480 = 23 × 51 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 7467 and 7480.

LCM(7467,7480) = 31 × 191 × 1311 × 23 × 51 × 111 × 171
LCM(7467,7480) = 55853160