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What is the Least Common Multiple of 7592 and 7600?

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 7592 and 7600 is 7212400.

LCM(7592,7600) = 7212400

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Least Common Multiple of 7592 and 7600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7592 and 7600, than apply into the LCM equation.

GCF(7592,7600) = 8
LCM(7592,7600) = ( 7592 × 7600) / 8
LCM(7592,7600) = 57699200 / 8
LCM(7592,7600) = 7212400

Least Common Multiple (LCM) of 7592 and 7600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7592 and 7600. First we will calculate the prime factors of 7592 and 7600.

Prime Factorization of 7592

Prime factors of 7592 are 2, 13, 73. Prime factorization of 7592 in exponential form is:

7592 = 23 × 131 × 731

Prime Factorization of 7600

Prime factors of 7600 are 2, 5, 19. Prime factorization of 7600 in exponential form is:

7600 = 24 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 7592 and 7600.

LCM(7592,7600) = 24 × 131 × 731 × 52 × 191
LCM(7592,7600) = 7212400