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What is the Least Common Multiple of 68982 and 68995?

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 68982 and 68995 is 4759413090.

LCM(68982,68995) = 4759413090

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Least Common Multiple of 68982 and 68995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68982 and 68995, than apply into the LCM equation.

GCF(68982,68995) = 1
LCM(68982,68995) = ( 68982 × 68995) / 1
LCM(68982,68995) = 4759413090 / 1
LCM(68982,68995) = 4759413090

Least Common Multiple (LCM) of 68982 and 68995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68982 and 68995. First we will calculate the prime factors of 68982 and 68995.

Prime Factorization of 68982

Prime factors of 68982 are 2, 3, 11497. Prime factorization of 68982 in exponential form is:

68982 = 21 × 31 × 114971

Prime Factorization of 68995

Prime factors of 68995 are 5, 13799. Prime factorization of 68995 in exponential form is:

68995 = 51 × 137991

Now multiplying the highest exponent prime factors to calculate the LCM of 68982 and 68995.

LCM(68982,68995) = 21 × 31 × 114971 × 51 × 137991
LCM(68982,68995) = 4759413090