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What is the Least Common Multiple of 18732 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 18732 and 18746 is 25082148.

LCM(18732,18746) = 25082148

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Least Common Multiple of 18732 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 18732 and 18746, than apply into the LCM equation.

GCF(18732,18746) = 14
LCM(18732,18746) = ( 18732 × 18746) / 14
LCM(18732,18746) = 351150072 / 14
LCM(18732,18746) = 25082148

Least Common Multiple (LCM) of 18732 and 18746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18732 and 18746. First we will calculate the prime factors of 18732 and 18746.

Prime Factorization of 18732

Prime factors of 18732 are 2, 3, 7, 223. Prime factorization of 18732 in exponential form is:

18732 = 22 × 31 × 71 × 2231

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 18732 and 18746.

LCM(18732,18746) = 22 × 31 × 71 × 2231 × 131 × 1031
LCM(18732,18746) = 25082148