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What is the Least Common Multiple of 22065 and 22079?

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 22065 and 22079 is 487173135.

LCM(22065,22079) = 487173135

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Least Common Multiple of 22065 and 22079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22065 and 22079, than apply into the LCM equation.

GCF(22065,22079) = 1
LCM(22065,22079) = ( 22065 × 22079) / 1
LCM(22065,22079) = 487173135 / 1
LCM(22065,22079) = 487173135

Least Common Multiple (LCM) of 22065 and 22079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22065 and 22079. First we will calculate the prime factors of 22065 and 22079.

Prime Factorization of 22065

Prime factors of 22065 are 3, 5, 1471. Prime factorization of 22065 in exponential form is:

22065 = 31 × 51 × 14711

Prime Factorization of 22079

Prime factors of 22079 are 22079. Prime factorization of 22079 in exponential form is:

22079 = 220791

Now multiplying the highest exponent prime factors to calculate the LCM of 22065 and 22079.

LCM(22065,22079) = 31 × 51 × 14711 × 220791
LCM(22065,22079) = 487173135