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What is the Least Common Multiple of 7586 and 7601?

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 7586 and 7601 is 57661186.

LCM(7586,7601) = 57661186

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Least Common Multiple of 7586 and 7601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7586 and 7601, than apply into the LCM equation.

GCF(7586,7601) = 1
LCM(7586,7601) = ( 7586 × 7601) / 1
LCM(7586,7601) = 57661186 / 1
LCM(7586,7601) = 57661186

Least Common Multiple (LCM) of 7586 and 7601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7586 and 7601. First we will calculate the prime factors of 7586 and 7601.

Prime Factorization of 7586

Prime factors of 7586 are 2, 3793. Prime factorization of 7586 in exponential form is:

7586 = 21 × 37931

Prime Factorization of 7601

Prime factors of 7601 are 11, 691. Prime factorization of 7601 in exponential form is:

7601 = 111 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 7586 and 7601.

LCM(7586,7601) = 21 × 37931 × 111 × 6911
LCM(7586,7601) = 57661186