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What is the Least Common Multiple of 43011 and 43022?

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 43011 and 43022 is 1850419242.

LCM(43011,43022) = 1850419242

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Least Common Multiple of 43011 and 43022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43011 and 43022, than apply into the LCM equation.

GCF(43011,43022) = 1
LCM(43011,43022) = ( 43011 × 43022) / 1
LCM(43011,43022) = 1850419242 / 1
LCM(43011,43022) = 1850419242

Least Common Multiple (LCM) of 43011 and 43022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43011 and 43022. First we will calculate the prime factors of 43011 and 43022.

Prime Factorization of 43011

Prime factors of 43011 are 3, 59. Prime factorization of 43011 in exponential form is:

43011 = 36 × 591

Prime Factorization of 43022

Prime factors of 43022 are 2, 7, 439. Prime factorization of 43022 in exponential form is:

43022 = 21 × 72 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 43011 and 43022.

LCM(43011,43022) = 36 × 591 × 21 × 72 × 4391
LCM(43011,43022) = 1850419242