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What is the Least Common Multiple of 7425 and 7436?

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 7425 and 7436 is 5019300.

LCM(7425,7436) = 5019300

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Least Common Multiple of 7425 and 7436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7425 and 7436, than apply into the LCM equation.

GCF(7425,7436) = 11
LCM(7425,7436) = ( 7425 × 7436) / 11
LCM(7425,7436) = 55212300 / 11
LCM(7425,7436) = 5019300

Least Common Multiple (LCM) of 7425 and 7436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7425 and 7436. First we will calculate the prime factors of 7425 and 7436.

Prime Factorization of 7425

Prime factors of 7425 are 3, 5, 11. Prime factorization of 7425 in exponential form is:

7425 = 33 × 52 × 111

Prime Factorization of 7436

Prime factors of 7436 are 2, 11, 13. Prime factorization of 7436 in exponential form is:

7436 = 22 × 111 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 7425 and 7436.

LCM(7425,7436) = 33 × 52 × 111 × 22 × 132
LCM(7425,7436) = 5019300