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What is the Least Common Multiple of 68109 and 68118?

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 68118 is 1546482954.

LCM(68109,68118) = 1546482954

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Least Common Multiple of 68109 and 68118 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 68118, than apply into the LCM equation.

GCF(68109,68118) = 3
LCM(68109,68118) = ( 68109 × 68118) / 3
LCM(68109,68118) = 4639448862 / 3
LCM(68109,68118) = 1546482954

Least Common Multiple (LCM) of 68109 and 68118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68109 and 68118. First we will calculate the prime factors of 68109 and 68118.

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 68118

Prime factors of 68118 are 2, 3, 11353. Prime factorization of 68118 in exponential form is:

68118 = 21 × 31 × 113531

Now multiplying the highest exponent prime factors to calculate the LCM of 68109 and 68118.

LCM(68109,68118) = 31 × 731 × 3111 × 21 × 113531
LCM(68109,68118) = 1546482954