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What is the Least Common Multiple of 7476 and 7492?

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 7476 and 7492 is 14002548.

LCM(7476,7492) = 14002548

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Least Common Multiple of 7476 and 7492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7476 and 7492, than apply into the LCM equation.

GCF(7476,7492) = 4
LCM(7476,7492) = ( 7476 × 7492) / 4
LCM(7476,7492) = 56010192 / 4
LCM(7476,7492) = 14002548

Least Common Multiple (LCM) of 7476 and 7492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7476 and 7492. First we will calculate the prime factors of 7476 and 7492.

Prime Factorization of 7476

Prime factors of 7476 are 2, 3, 7, 89. Prime factorization of 7476 in exponential form is:

7476 = 22 × 31 × 71 × 891

Prime Factorization of 7492

Prime factors of 7492 are 2, 1873. Prime factorization of 7492 in exponential form is:

7492 = 22 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 7476 and 7492.

LCM(7476,7492) = 22 × 31 × 71 × 891 × 18731
LCM(7476,7492) = 14002548