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What is the Least Common Multiple of 7591 and 7607?

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 7591 and 7607 is 57744737.

LCM(7591,7607) = 57744737

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Least Common Multiple of 7591 and 7607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7591 and 7607, than apply into the LCM equation.

GCF(7591,7607) = 1
LCM(7591,7607) = ( 7591 × 7607) / 1
LCM(7591,7607) = 57744737 / 1
LCM(7591,7607) = 57744737

Least Common Multiple (LCM) of 7591 and 7607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7591 and 7607. First we will calculate the prime factors of 7591 and 7607.

Prime Factorization of 7591

Prime factors of 7591 are 7591. Prime factorization of 7591 in exponential form is:

7591 = 75911

Prime Factorization of 7607

Prime factors of 7607 are 7607. Prime factorization of 7607 in exponential form is:

7607 = 76071

Now multiplying the highest exponent prime factors to calculate the LCM of 7591 and 7607.

LCM(7591,7607) = 75911 × 76071
LCM(7591,7607) = 57744737