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What is the Least Common Multiple of 67682 and 67692?

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 67682 and 67692 is 2290764972.

LCM(67682,67692) = 2290764972

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Least Common Multiple of 67682 and 67692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67682 and 67692, than apply into the LCM equation.

GCF(67682,67692) = 2
LCM(67682,67692) = ( 67682 × 67692) / 2
LCM(67682,67692) = 4581529944 / 2
LCM(67682,67692) = 2290764972

Least Common Multiple (LCM) of 67682 and 67692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67682 and 67692. First we will calculate the prime factors of 67682 and 67692.

Prime Factorization of 67682

Prime factors of 67682 are 2, 43, 787. Prime factorization of 67682 in exponential form is:

67682 = 21 × 431 × 7871

Prime Factorization of 67692

Prime factors of 67692 are 2, 3, 5641. Prime factorization of 67692 in exponential form is:

67692 = 22 × 31 × 56411

Now multiplying the highest exponent prime factors to calculate the LCM of 67682 and 67692.

LCM(67682,67692) = 22 × 431 × 7871 × 31 × 56411
LCM(67682,67692) = 2290764972