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What is the Least Common Multiple of 68090 and 68108?

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 68090 and 68108 is 2318736860.

LCM(68090,68108) = 2318736860

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Least Common Multiple of 68090 and 68108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68090 and 68108, than apply into the LCM equation.

GCF(68090,68108) = 2
LCM(68090,68108) = ( 68090 × 68108) / 2
LCM(68090,68108) = 4637473720 / 2
LCM(68090,68108) = 2318736860

Least Common Multiple (LCM) of 68090 and 68108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68090 and 68108. First we will calculate the prime factors of 68090 and 68108.

Prime Factorization of 68090

Prime factors of 68090 are 2, 5, 11, 619. Prime factorization of 68090 in exponential form is:

68090 = 21 × 51 × 111 × 6191

Prime Factorization of 68108

Prime factors of 68108 are 2, 17027. Prime factorization of 68108 in exponential form is:

68108 = 22 × 170271

Now multiplying the highest exponent prime factors to calculate the LCM of 68090 and 68108.

LCM(68090,68108) = 22 × 51 × 111 × 6191 × 170271
LCM(68090,68108) = 2318736860