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What is the Least Common Multiple of 14908 and 14915?

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 14915 is 222352820.

LCM(14908,14915) = 222352820

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Least Common Multiple of 14908 and 14915 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 14915, than apply into the LCM equation.

GCF(14908,14915) = 1
LCM(14908,14915) = ( 14908 × 14915) / 1
LCM(14908,14915) = 222352820 / 1
LCM(14908,14915) = 222352820

Least Common Multiple (LCM) of 14908 and 14915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14908 and 14915. First we will calculate the prime factors of 14908 and 14915.

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 14915

Prime factors of 14915 are 5, 19, 157. Prime factorization of 14915 in exponential form is:

14915 = 51 × 191 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 14908 and 14915.

LCM(14908,14915) = 22 × 37271 × 51 × 191 × 1571
LCM(14908,14915) = 222352820