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What is the Least Common Multiple of 15094 and 15108?

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 15094 and 15108 is 114020076.

LCM(15094,15108) = 114020076

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Least Common Multiple of 15094 and 15108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15094 and 15108, than apply into the LCM equation.

GCF(15094,15108) = 2
LCM(15094,15108) = ( 15094 × 15108) / 2
LCM(15094,15108) = 228040152 / 2
LCM(15094,15108) = 114020076

Least Common Multiple (LCM) of 15094 and 15108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15094 and 15108. First we will calculate the prime factors of 15094 and 15108.

Prime Factorization of 15094

Prime factors of 15094 are 2, 7547. Prime factorization of 15094 in exponential form is:

15094 = 21 × 75471

Prime Factorization of 15108

Prime factors of 15108 are 2, 3, 1259. Prime factorization of 15108 in exponential form is:

15108 = 22 × 31 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 15094 and 15108.

LCM(15094,15108) = 22 × 75471 × 31 × 12591
LCM(15094,15108) = 114020076