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What is the Least Common Multiple of 7927 and 7946?

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 7927 and 7946 is 62987942.

LCM(7927,7946) = 62987942

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Least Common Multiple of 7927 and 7946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7927 and 7946, than apply into the LCM equation.

GCF(7927,7946) = 1
LCM(7927,7946) = ( 7927 × 7946) / 1
LCM(7927,7946) = 62987942 / 1
LCM(7927,7946) = 62987942

Least Common Multiple (LCM) of 7927 and 7946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7927 and 7946. First we will calculate the prime factors of 7927 and 7946.

Prime Factorization of 7927

Prime factors of 7927 are 7927. Prime factorization of 7927 in exponential form is:

7927 = 79271

Prime Factorization of 7946

Prime factors of 7946 are 2, 29, 137. Prime factorization of 7946 in exponential form is:

7946 = 21 × 291 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 7927 and 7946.

LCM(7927,7946) = 79271 × 21 × 291 × 1371
LCM(7927,7946) = 62987942