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What is the Least Common Multiple of 14908 and 14927?

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 14908 and 14927 is 222531716.

LCM(14908,14927) = 222531716

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Least Common Multiple of 14908 and 14927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14908 and 14927, than apply into the LCM equation.

GCF(14908,14927) = 1
LCM(14908,14927) = ( 14908 × 14927) / 1
LCM(14908,14927) = 222531716 / 1
LCM(14908,14927) = 222531716

Least Common Multiple (LCM) of 14908 and 14927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14908 and 14927. First we will calculate the prime factors of 14908 and 14927.

Prime Factorization of 14908

Prime factors of 14908 are 2, 3727. Prime factorization of 14908 in exponential form is:

14908 = 22 × 37271

Prime Factorization of 14927

Prime factors of 14927 are 11, 23, 59. Prime factorization of 14927 in exponential form is:

14927 = 111 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 14908 and 14927.

LCM(14908,14927) = 22 × 37271 × 111 × 231 × 591
LCM(14908,14927) = 222531716