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What is the Least Common Multiple of 68109 and 68125?

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 68109 and 68125 is 4639925625.

LCM(68109,68125) = 4639925625

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Least Common Multiple of 68109 and 68125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68109 and 68125, than apply into the LCM equation.

GCF(68109,68125) = 1
LCM(68109,68125) = ( 68109 × 68125) / 1
LCM(68109,68125) = 4639925625 / 1
LCM(68109,68125) = 4639925625

Least Common Multiple (LCM) of 68109 and 68125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68109 and 68125. First we will calculate the prime factors of 68109 and 68125.

Prime Factorization of 68109

Prime factors of 68109 are 3, 73, 311. Prime factorization of 68109 in exponential form is:

68109 = 31 × 731 × 3111

Prime Factorization of 68125

Prime factors of 68125 are 5, 109. Prime factorization of 68125 in exponential form is:

68125 = 54 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 68109 and 68125.

LCM(68109,68125) = 31 × 731 × 3111 × 54 × 1091
LCM(68109,68125) = 4639925625