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What is the Least Common Multiple of 7628 and 7639?

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 7628 and 7639 is 58270292.

LCM(7628,7639) = 58270292

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Least Common Multiple of 7628 and 7639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7628 and 7639, than apply into the LCM equation.

GCF(7628,7639) = 1
LCM(7628,7639) = ( 7628 × 7639) / 1
LCM(7628,7639) = 58270292 / 1
LCM(7628,7639) = 58270292

Least Common Multiple (LCM) of 7628 and 7639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7628 and 7639. First we will calculate the prime factors of 7628 and 7639.

Prime Factorization of 7628

Prime factors of 7628 are 2, 1907. Prime factorization of 7628 in exponential form is:

7628 = 22 × 19071

Prime Factorization of 7639

Prime factors of 7639 are 7639. Prime factorization of 7639 in exponential form is:

7639 = 76391

Now multiplying the highest exponent prime factors to calculate the LCM of 7628 and 7639.

LCM(7628,7639) = 22 × 19071 × 76391
LCM(7628,7639) = 58270292