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What is the Least Common Multiple of 7654 and 7671?

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 7654 and 7671 is 58713834.

LCM(7654,7671) = 58713834

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Least Common Multiple of 7654 and 7671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7654 and 7671, than apply into the LCM equation.

GCF(7654,7671) = 1
LCM(7654,7671) = ( 7654 × 7671) / 1
LCM(7654,7671) = 58713834 / 1
LCM(7654,7671) = 58713834

Least Common Multiple (LCM) of 7654 and 7671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7654 and 7671. First we will calculate the prime factors of 7654 and 7671.

Prime Factorization of 7654

Prime factors of 7654 are 2, 43, 89. Prime factorization of 7654 in exponential form is:

7654 = 21 × 431 × 891

Prime Factorization of 7671

Prime factors of 7671 are 3, 2557. Prime factorization of 7671 in exponential form is:

7671 = 31 × 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 7654 and 7671.

LCM(7654,7671) = 21 × 431 × 891 × 31 × 25571
LCM(7654,7671) = 58713834