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What is the Least Common Multiple of 18947 and 18962?

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 18947 and 18962 is 359273014.

LCM(18947,18962) = 359273014

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Least Common Multiple of 18947 and 18962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18947 and 18962, than apply into the LCM equation.

GCF(18947,18962) = 1
LCM(18947,18962) = ( 18947 × 18962) / 1
LCM(18947,18962) = 359273014 / 1
LCM(18947,18962) = 359273014

Least Common Multiple (LCM) of 18947 and 18962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18947 and 18962. First we will calculate the prime factors of 18947 and 18962.

Prime Factorization of 18947

Prime factors of 18947 are 18947. Prime factorization of 18947 in exponential form is:

18947 = 189471

Prime Factorization of 18962

Prime factors of 18962 are 2, 19, 499. Prime factorization of 18962 in exponential form is:

18962 = 21 × 191 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 18947 and 18962.

LCM(18947,18962) = 189471 × 21 × 191 × 4991
LCM(18947,18962) = 359273014