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What is the Least Common Multiple of 18727 and 18746?

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 18727 and 18746 is 351056342.

LCM(18727,18746) = 351056342

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Least Common Multiple of 18727 and 18746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18727 and 18746, than apply into the LCM equation.

GCF(18727,18746) = 1
LCM(18727,18746) = ( 18727 × 18746) / 1
LCM(18727,18746) = 351056342 / 1
LCM(18727,18746) = 351056342

Least Common Multiple (LCM) of 18727 and 18746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18727 and 18746. First we will calculate the prime factors of 18727 and 18746.

Prime Factorization of 18727

Prime factors of 18727 are 61, 307. Prime factorization of 18727 in exponential form is:

18727 = 611 × 3071

Prime Factorization of 18746

Prime factors of 18746 are 2, 7, 13, 103. Prime factorization of 18746 in exponential form is:

18746 = 21 × 71 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 18727 and 18746.

LCM(18727,18746) = 611 × 3071 × 21 × 71 × 131 × 1031
LCM(18727,18746) = 351056342