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What is the Least Common Multiple of 36022 and 36034?

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 36022 and 36034 is 649008374.

LCM(36022,36034) = 649008374

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Least Common Multiple of 36022 and 36034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36022 and 36034, than apply into the LCM equation.

GCF(36022,36034) = 2
LCM(36022,36034) = ( 36022 × 36034) / 2
LCM(36022,36034) = 1298016748 / 2
LCM(36022,36034) = 649008374

Least Common Multiple (LCM) of 36022 and 36034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36022 and 36034. First we will calculate the prime factors of 36022 and 36034.

Prime Factorization of 36022

Prime factors of 36022 are 2, 7, 31, 83. Prime factorization of 36022 in exponential form is:

36022 = 21 × 71 × 311 × 831

Prime Factorization of 36034

Prime factors of 36034 are 2, 43, 419. Prime factorization of 36034 in exponential form is:

36034 = 21 × 431 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 36022 and 36034.

LCM(36022,36034) = 21 × 71 × 311 × 831 × 431 × 4191
LCM(36022,36034) = 649008374