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What is the Least Common Multiple of 12953 and 12967?

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 12953 and 12967 is 167961551.

LCM(12953,12967) = 167961551

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Least Common Multiple of 12953 and 12967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12953 and 12967, than apply into the LCM equation.

GCF(12953,12967) = 1
LCM(12953,12967) = ( 12953 × 12967) / 1
LCM(12953,12967) = 167961551 / 1
LCM(12953,12967) = 167961551

Least Common Multiple (LCM) of 12953 and 12967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12953 and 12967. First we will calculate the prime factors of 12953 and 12967.

Prime Factorization of 12953

Prime factors of 12953 are 12953. Prime factorization of 12953 in exponential form is:

12953 = 129531

Prime Factorization of 12967

Prime factors of 12967 are 12967. Prime factorization of 12967 in exponential form is:

12967 = 129671

Now multiplying the highest exponent prime factors to calculate the LCM of 12953 and 12967.

LCM(12953,12967) = 129531 × 129671
LCM(12953,12967) = 167961551