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What is the Least Common Multiple of 18962 and 18978?

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 18962 and 18978 is 179930418.

LCM(18962,18978) = 179930418

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Least Common Multiple of 18962 and 18978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18962 and 18978, than apply into the LCM equation.

GCF(18962,18978) = 2
LCM(18962,18978) = ( 18962 × 18978) / 2
LCM(18962,18978) = 359860836 / 2
LCM(18962,18978) = 179930418

Least Common Multiple (LCM) of 18962 and 18978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18962 and 18978. First we will calculate the prime factors of 18962 and 18978.

Prime Factorization of 18962

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

18962 = 21 × 191 × 4991

Prime Factorization of 18978

Prime factors of 18978 are 2, 3, 3163. Prime factorization of 18978 in exponential form is:

18978 = 21 × 31 × 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 18962 and 18978.

LCM(18962,18978) = 21 × 191 × 4991 × 31 × 31631
LCM(18962,18978) = 179930418