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What is the Least Common Multiple of 67675 and 67690?

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 67675 and 67690 is 916184150.

LCM(67675,67690) = 916184150

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Least Common Multiple of 67675 and 67690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67675 and 67690, than apply into the LCM equation.

GCF(67675,67690) = 5
LCM(67675,67690) = ( 67675 × 67690) / 5
LCM(67675,67690) = 4580920750 / 5
LCM(67675,67690) = 916184150

Least Common Multiple (LCM) of 67675 and 67690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67675 and 67690. First we will calculate the prime factors of 67675 and 67690.

Prime Factorization of 67675

Prime factors of 67675 are 5, 2707. Prime factorization of 67675 in exponential form is:

67675 = 52 × 27071

Prime Factorization of 67690

Prime factors of 67690 are 2, 5, 7, 967. Prime factorization of 67690 in exponential form is:

67690 = 21 × 51 × 71 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 67675 and 67690.

LCM(67675,67690) = 52 × 27071 × 21 × 71 × 9671
LCM(67675,67690) = 916184150