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What is the Least Common Multiple of 22094 and 22108?

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 22094 and 22108 is 244227076.

LCM(22094,22108) = 244227076

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Least Common Multiple of 22094 and 22108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22094 and 22108, than apply into the LCM equation.

GCF(22094,22108) = 2
LCM(22094,22108) = ( 22094 × 22108) / 2
LCM(22094,22108) = 488454152 / 2
LCM(22094,22108) = 244227076

Least Common Multiple (LCM) of 22094 and 22108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22094 and 22108. First we will calculate the prime factors of 22094 and 22108.

Prime Factorization of 22094

Prime factors of 22094 are 2, 11047. Prime factorization of 22094 in exponential form is:

22094 = 21 × 110471

Prime Factorization of 22108

Prime factors of 22108 are 2, 5527. Prime factorization of 22108 in exponential form is:

22108 = 22 × 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 22094 and 22108.

LCM(22094,22108) = 22 × 110471 × 55271
LCM(22094,22108) = 244227076