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What is the Least Common Multiple of 67984 and 67995?

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 67984 and 67995 is 4622572080.

LCM(67984,67995) = 4622572080

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Least Common Multiple of 67984 and 67995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67984 and 67995, than apply into the LCM equation.

GCF(67984,67995) = 1
LCM(67984,67995) = ( 67984 × 67995) / 1
LCM(67984,67995) = 4622572080 / 1
LCM(67984,67995) = 4622572080

Least Common Multiple (LCM) of 67984 and 67995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67984 and 67995. First we will calculate the prime factors of 67984 and 67995.

Prime Factorization of 67984

Prime factors of 67984 are 2, 7, 607. Prime factorization of 67984 in exponential form is:

67984 = 24 × 71 × 6071

Prime Factorization of 67995

Prime factors of 67995 are 3, 5, 1511. Prime factorization of 67995 in exponential form is:

67995 = 32 × 51 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 67984 and 67995.

LCM(67984,67995) = 24 × 71 × 6071 × 32 × 51 × 15111
LCM(67984,67995) = 4622572080