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What is the Least Common Multiple of 68135 and 68145?

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 68135 and 68145 is 928611915.

LCM(68135,68145) = 928611915

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Least Common Multiple of 68135 and 68145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68135 and 68145, than apply into the LCM equation.

GCF(68135,68145) = 5
LCM(68135,68145) = ( 68135 × 68145) / 5
LCM(68135,68145) = 4643059575 / 5
LCM(68135,68145) = 928611915

Least Common Multiple (LCM) of 68135 and 68145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68135 and 68145. First we will calculate the prime factors of 68135 and 68145.

Prime Factorization of 68135

Prime factors of 68135 are 5, 13627. Prime factorization of 68135 in exponential form is:

68135 = 51 × 136271

Prime Factorization of 68145

Prime factors of 68145 are 3, 5, 7, 11, 59. Prime factorization of 68145 in exponential form is:

68145 = 31 × 51 × 71 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 68135 and 68145.

LCM(68135,68145) = 51 × 136271 × 31 × 71 × 111 × 591
LCM(68135,68145) = 928611915