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What is the Least Common Multiple of 69036 and 69043?

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 69036 and 69043 is 4766452548.

LCM(69036,69043) = 4766452548

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Least Common Multiple of 69036 and 69043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69036 and 69043, than apply into the LCM equation.

GCF(69036,69043) = 1
LCM(69036,69043) = ( 69036 × 69043) / 1
LCM(69036,69043) = 4766452548 / 1
LCM(69036,69043) = 4766452548

Least Common Multiple (LCM) of 69036 and 69043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69036 and 69043. First we will calculate the prime factors of 69036 and 69043.

Prime Factorization of 69036

Prime factors of 69036 are 2, 3, 11, 523. Prime factorization of 69036 in exponential form is:

69036 = 22 × 31 × 111 × 5231

Prime Factorization of 69043

Prime factors of 69043 are 13, 47, 113. Prime factorization of 69043 in exponential form is:

69043 = 131 × 471 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 69036 and 69043.

LCM(69036,69043) = 22 × 31 × 111 × 5231 × 131 × 471 × 1131
LCM(69036,69043) = 4766452548