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What is the Least Common Multiple of 14850 and 14868?

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 14850 and 14868 is 12266100.

LCM(14850,14868) = 12266100

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Least Common Multiple of 14850 and 14868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14850 and 14868, than apply into the LCM equation.

GCF(14850,14868) = 18
LCM(14850,14868) = ( 14850 × 14868) / 18
LCM(14850,14868) = 220789800 / 18
LCM(14850,14868) = 12266100

Least Common Multiple (LCM) of 14850 and 14868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14850 and 14868. First we will calculate the prime factors of 14850 and 14868.

Prime Factorization of 14850

Prime factors of 14850 are 2, 3, 5, 11. Prime factorization of 14850 in exponential form is:

14850 = 21 × 33 × 52 × 111

Prime Factorization of 14868

Prime factors of 14868 are 2, 3, 7, 59. Prime factorization of 14868 in exponential form is:

14868 = 22 × 32 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 14850 and 14868.

LCM(14850,14868) = 22 × 33 × 52 × 111 × 71 × 591
LCM(14850,14868) = 12266100