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What is the Least Common Multiple of 18462 and 18477?

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 18462 and 18477 is 113707458.

LCM(18462,18477) = 113707458

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Least Common Multiple of 18462 and 18477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18462 and 18477, than apply into the LCM equation.

GCF(18462,18477) = 3
LCM(18462,18477) = ( 18462 × 18477) / 3
LCM(18462,18477) = 341122374 / 3
LCM(18462,18477) = 113707458

Least Common Multiple (LCM) of 18462 and 18477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18462 and 18477. First we will calculate the prime factors of 18462 and 18477.

Prime Factorization of 18462

Prime factors of 18462 are 2, 3, 17, 181. Prime factorization of 18462 in exponential form is:

18462 = 21 × 31 × 171 × 1811

Prime Factorization of 18477

Prime factors of 18477 are 3, 2053. Prime factorization of 18477 in exponential form is:

18477 = 32 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 18462 and 18477.

LCM(18462,18477) = 21 × 32 × 171 × 1811 × 20531
LCM(18462,18477) = 113707458