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What is the Least Common Multiple of 7641 and 7646?

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 7641 and 7646 is 58423086.

LCM(7641,7646) = 58423086

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Least Common Multiple of 7641 and 7646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7641 and 7646, than apply into the LCM equation.

GCF(7641,7646) = 1
LCM(7641,7646) = ( 7641 × 7646) / 1
LCM(7641,7646) = 58423086 / 1
LCM(7641,7646) = 58423086

Least Common Multiple (LCM) of 7641 and 7646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7641 and 7646. First we will calculate the prime factors of 7641 and 7646.

Prime Factorization of 7641

Prime factors of 7641 are 3, 283. Prime factorization of 7641 in exponential form is:

7641 = 33 × 2831

Prime Factorization of 7646

Prime factors of 7646 are 2, 3823. Prime factorization of 7646 in exponential form is:

7646 = 21 × 38231

Now multiplying the highest exponent prime factors to calculate the LCM of 7641 and 7646.

LCM(7641,7646) = 33 × 2831 × 21 × 38231
LCM(7641,7646) = 58423086