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What is the Least Common Multiple of 68862 and 68867?

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 68862 and 68867 is 4742319354.

LCM(68862,68867) = 4742319354

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Least Common Multiple of 68862 and 68867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68862 and 68867, than apply into the LCM equation.

GCF(68862,68867) = 1
LCM(68862,68867) = ( 68862 × 68867) / 1
LCM(68862,68867) = 4742319354 / 1
LCM(68862,68867) = 4742319354

Least Common Multiple (LCM) of 68862 and 68867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68862 and 68867. First we will calculate the prime factors of 68862 and 68867.

Prime Factorization of 68862

Prime factors of 68862 are 2, 3, 23, 499. Prime factorization of 68862 in exponential form is:

68862 = 21 × 31 × 231 × 4991

Prime Factorization of 68867

Prime factors of 68867 are 17, 4051. Prime factorization of 68867 in exponential form is:

68867 = 171 × 40511

Now multiplying the highest exponent prime factors to calculate the LCM of 68862 and 68867.

LCM(68862,68867) = 21 × 31 × 231 × 4991 × 171 × 40511
LCM(68862,68867) = 4742319354