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What is the Least Common Multiple of 15927 and 15946?

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 15927 and 15946 is 253971942.

LCM(15927,15946) = 253971942

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Least Common Multiple of 15927 and 15946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15927 and 15946, than apply into the LCM equation.

GCF(15927,15946) = 1
LCM(15927,15946) = ( 15927 × 15946) / 1
LCM(15927,15946) = 253971942 / 1
LCM(15927,15946) = 253971942

Least Common Multiple (LCM) of 15927 and 15946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15927 and 15946. First we will calculate the prime factors of 15927 and 15946.

Prime Factorization of 15927

Prime factors of 15927 are 3, 5309. Prime factorization of 15927 in exponential form is:

15927 = 31 × 53091

Prime Factorization of 15946

Prime factors of 15946 are 2, 7, 17, 67. Prime factorization of 15946 in exponential form is:

15946 = 21 × 71 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 15927 and 15946.

LCM(15927,15946) = 31 × 53091 × 21 × 71 × 171 × 671
LCM(15927,15946) = 253971942