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What is the Least Common Multiple of 18963 and 18975?

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 18963 and 18975 is 119940975.

LCM(18963,18975) = 119940975

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Least Common Multiple of 18963 and 18975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18963 and 18975, than apply into the LCM equation.

GCF(18963,18975) = 3
LCM(18963,18975) = ( 18963 × 18975) / 3
LCM(18963,18975) = 359822925 / 3
LCM(18963,18975) = 119940975

Least Common Multiple (LCM) of 18963 and 18975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18963 and 18975. First we will calculate the prime factors of 18963 and 18975.

Prime Factorization of 18963

Prime factors of 18963 are 3, 7, 43. Prime factorization of 18963 in exponential form is:

18963 = 32 × 72 × 431

Prime Factorization of 18975

Prime factors of 18975 are 3, 5, 11, 23. Prime factorization of 18975 in exponential form is:

18975 = 31 × 52 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 18963 and 18975.

LCM(18963,18975) = 32 × 72 × 431 × 52 × 111 × 231
LCM(18963,18975) = 119940975