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What is the Least Common Multiple of 7643 and 7660?

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 7643 and 7660 is 58545380.

LCM(7643,7660) = 58545380

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Least Common Multiple of 7643 and 7660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7643 and 7660, than apply into the LCM equation.

GCF(7643,7660) = 1
LCM(7643,7660) = ( 7643 × 7660) / 1
LCM(7643,7660) = 58545380 / 1
LCM(7643,7660) = 58545380

Least Common Multiple (LCM) of 7643 and 7660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7643 and 7660. First we will calculate the prime factors of 7643 and 7660.

Prime Factorization of 7643

Prime factors of 7643 are 7643. Prime factorization of 7643 in exponential form is:

7643 = 76431

Prime Factorization of 7660

Prime factors of 7660 are 2, 5, 383. Prime factorization of 7660 in exponential form is:

7660 = 22 × 51 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 7643 and 7660.

LCM(7643,7660) = 76431 × 22 × 51 × 3831
LCM(7643,7660) = 58545380