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What is the Least Common Multiple of 7492 and 7505?

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 7492 and 7505 is 56227460.

LCM(7492,7505) = 56227460

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Least Common Multiple of 7492 and 7505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7492 and 7505, than apply into the LCM equation.

GCF(7492,7505) = 1
LCM(7492,7505) = ( 7492 × 7505) / 1
LCM(7492,7505) = 56227460 / 1
LCM(7492,7505) = 56227460

Least Common Multiple (LCM) of 7492 and 7505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7492 and 7505. First we will calculate the prime factors of 7492 and 7505.

Prime Factorization of 7492

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

7492 = 22 × 18731

Prime Factorization of 7505

Prime factors of 7505 are 5, 19, 79. Prime factorization of 7505 in exponential form is:

7505 = 51 × 191 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 7492 and 7505.

LCM(7492,7505) = 22 × 18731 × 51 × 191 × 791
LCM(7492,7505) = 56227460