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What is the Least Common Multiple of 69134 and 69148?

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 69134 and 69148 is 2390238916.

LCM(69134,69148) = 2390238916

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Least Common Multiple of 69134 and 69148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69134 and 69148, than apply into the LCM equation.

GCF(69134,69148) = 2
LCM(69134,69148) = ( 69134 × 69148) / 2
LCM(69134,69148) = 4780477832 / 2
LCM(69134,69148) = 2390238916

Least Common Multiple (LCM) of 69134 and 69148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69134 and 69148. First we will calculate the prime factors of 69134 and 69148.

Prime Factorization of 69134

Prime factors of 69134 are 2, 13, 2659. Prime factorization of 69134 in exponential form is:

69134 = 21 × 131 × 26591

Prime Factorization of 69148

Prime factors of 69148 are 2, 59, 293. Prime factorization of 69148 in exponential form is:

69148 = 22 × 591 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 69134 and 69148.

LCM(69134,69148) = 22 × 131 × 26591 × 591 × 2931
LCM(69134,69148) = 2390238916