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What is the Least Common Multiple of 68071 and 68090?

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 68071 and 68090 is 4634954390.

LCM(68071,68090) = 4634954390

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Least Common Multiple of 68071 and 68090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68071 and 68090, than apply into the LCM equation.

GCF(68071,68090) = 1
LCM(68071,68090) = ( 68071 × 68090) / 1
LCM(68071,68090) = 4634954390 / 1
LCM(68071,68090) = 4634954390

Least Common Multiple (LCM) of 68071 and 68090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68071 and 68090. First we will calculate the prime factors of 68071 and 68090.

Prime Factorization of 68071

Prime factors of 68071 are 68071. Prime factorization of 68071 in exponential form is:

68071 = 680711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 68071 and 68090.

LCM(68071,68090) = 680711 × 21 × 51 × 111 × 6191
LCM(68071,68090) = 4634954390