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What is the Least Common Multiple of 18501 and 18518?

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 18501 and 18518 is 342601518.

LCM(18501,18518) = 342601518

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Least Common Multiple of 18501 and 18518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18501 and 18518, than apply into the LCM equation.

GCF(18501,18518) = 1
LCM(18501,18518) = ( 18501 × 18518) / 1
LCM(18501,18518) = 342601518 / 1
LCM(18501,18518) = 342601518

Least Common Multiple (LCM) of 18501 and 18518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18501 and 18518. First we will calculate the prime factors of 18501 and 18518.

Prime Factorization of 18501

Prime factors of 18501 are 3, 7, 881. Prime factorization of 18501 in exponential form is:

18501 = 31 × 71 × 8811

Prime Factorization of 18518

Prime factors of 18518 are 2, 47, 197. Prime factorization of 18518 in exponential form is:

18518 = 21 × 471 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 18501 and 18518.

LCM(18501,18518) = 31 × 71 × 8811 × 21 × 471 × 1971
LCM(18501,18518) = 342601518