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What is the Least Common Multiple of 22065 and 22073?

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 22073 is 487040745.

LCM(22065,22073) = 487040745

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Least Common Multiple of 22065 and 22073 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 22073, than apply into the LCM equation.

GCF(22065,22073) = 1
LCM(22065,22073) = ( 22065 × 22073) / 1
LCM(22065,22073) = 487040745 / 1
LCM(22065,22073) = 487040745

Least Common Multiple (LCM) of 22065 and 22073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22065 and 22073. First we will calculate the prime factors of 22065 and 22073.

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 22073

Prime factors of 22073 are 22073. Prime factorization of 22073 in exponential form is:

22073 = 220731

Now multiplying the highest exponent prime factors to calculate the LCM of 22065 and 22073.

LCM(22065,22073) = 31 × 51 × 14711 × 220731
LCM(22065,22073) = 487040745