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What is the Least Common Multiple of 15933 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 15933 and 15946 is 254067618.

LCM(15933,15946) = 254067618

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Least Common Multiple of 15933 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 15933 and 15946, than apply into the LCM equation.

GCF(15933,15946) = 1
LCM(15933,15946) = ( 15933 × 15946) / 1
LCM(15933,15946) = 254067618 / 1
LCM(15933,15946) = 254067618

Least Common Multiple (LCM) of 15933 and 15946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15933 and 15946. First we will calculate the prime factors of 15933 and 15946.

Prime Factorization of 15933

Prime factors of 15933 are 3, 47, 113. Prime factorization of 15933 in exponential form is:

15933 = 31 × 471 × 1131

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 15933 and 15946.

LCM(15933,15946) = 31 × 471 × 1131 × 21 × 71 × 171 × 671
LCM(15933,15946) = 254067618