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What is the Least Common Multiple of 7960 and 7965?

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 7960 and 7965 is 12680280.

LCM(7960,7965) = 12680280

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Least Common Multiple of 7960 and 7965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7960 and 7965, than apply into the LCM equation.

GCF(7960,7965) = 5
LCM(7960,7965) = ( 7960 × 7965) / 5
LCM(7960,7965) = 63401400 / 5
LCM(7960,7965) = 12680280

Least Common Multiple (LCM) of 7960 and 7965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7960 and 7965. First we will calculate the prime factors of 7960 and 7965.

Prime Factorization of 7960

Prime factors of 7960 are 2, 5, 199. Prime factorization of 7960 in exponential form is:

7960 = 23 × 51 × 1991

Prime Factorization of 7965

Prime factors of 7965 are 3, 5, 59. Prime factorization of 7965 in exponential form is:

7965 = 33 × 51 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 7960 and 7965.

LCM(7960,7965) = 23 × 51 × 1991 × 33 × 591
LCM(7960,7965) = 12680280