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What is the Least Common Multiple of 7632 and 7645?

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 7632 and 7645 is 58346640.

LCM(7632,7645) = 58346640

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Least Common Multiple of 7632 and 7645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7632 and 7645, than apply into the LCM equation.

GCF(7632,7645) = 1
LCM(7632,7645) = ( 7632 × 7645) / 1
LCM(7632,7645) = 58346640 / 1
LCM(7632,7645) = 58346640

Least Common Multiple (LCM) of 7632 and 7645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7632 and 7645. First we will calculate the prime factors of 7632 and 7645.

Prime Factorization of 7632

Prime factors of 7632 are 2, 3, 53. Prime factorization of 7632 in exponential form is:

7632 = 24 × 32 × 531

Prime Factorization of 7645

Prime factors of 7645 are 5, 11, 139. Prime factorization of 7645 in exponential form is:

7645 = 51 × 111 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 7632 and 7645.

LCM(7632,7645) = 24 × 32 × 531 × 51 × 111 × 1391
LCM(7632,7645) = 58346640