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What is the Least Common Multiple of 69030 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 69030 and 69043 is 366618330.

LCM(69030,69043) = 366618330

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Least Common Multiple of 69030 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 69030 and 69043, than apply into the LCM equation.

GCF(69030,69043) = 13
LCM(69030,69043) = ( 69030 × 69043) / 13
LCM(69030,69043) = 4766038290 / 13
LCM(69030,69043) = 366618330

Least Common Multiple (LCM) of 69030 and 69043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69030 and 69043. First we will calculate the prime factors of 69030 and 69043.

Prime Factorization of 69030

Prime factors of 69030 are 2, 3, 5, 13, 59. Prime factorization of 69030 in exponential form is:

69030 = 21 × 32 × 51 × 131 × 591

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 69030 and 69043.

LCM(69030,69043) = 21 × 32 × 51 × 131 × 591 × 471 × 1131
LCM(69030,69043) = 366618330