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What is the Least Common Multiple of 7667 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 7667 and 7671 is 58813557.

LCM(7667,7671) = 58813557

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Least Common Multiple of 7667 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 7667 and 7671, than apply into the LCM equation.

GCF(7667,7671) = 1
LCM(7667,7671) = ( 7667 × 7671) / 1
LCM(7667,7671) = 58813557 / 1
LCM(7667,7671) = 58813557

Least Common Multiple (LCM) of 7667 and 7671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7667 and 7671. First we will calculate the prime factors of 7667 and 7671.

Prime Factorization of 7667

Prime factors of 7667 are 11, 17, 41. Prime factorization of 7667 in exponential form is:

7667 = 111 × 171 × 411

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 7667 and 7671.

LCM(7667,7671) = 111 × 171 × 411 × 31 × 25571
LCM(7667,7671) = 58813557