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What is the Least Common Multiple of 7628 and 7642?

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 7642 is 29146588.

LCM(7628,7642) = 29146588

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Least Common Multiple of 7628 and 7642 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 7642, than apply into the LCM equation.

GCF(7628,7642) = 2
LCM(7628,7642) = ( 7628 × 7642) / 2
LCM(7628,7642) = 58293176 / 2
LCM(7628,7642) = 29146588

Least Common Multiple (LCM) of 7628 and 7642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7628 and 7642. First we will calculate the prime factors of 7628 and 7642.

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 7642

Prime factors of 7642 are 2, 3821. Prime factorization of 7642 in exponential form is:

7642 = 21 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 7628 and 7642.

LCM(7628,7642) = 22 × 19071 × 38211
LCM(7628,7642) = 29146588