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What is the Least Common Multiple of 68491 and 68498?

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 68491 and 68498 is 4691496518.

LCM(68491,68498) = 4691496518

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Least Common Multiple of 68491 and 68498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68491 and 68498, than apply into the LCM equation.

GCF(68491,68498) = 1
LCM(68491,68498) = ( 68491 × 68498) / 1
LCM(68491,68498) = 4691496518 / 1
LCM(68491,68498) = 4691496518

Least Common Multiple (LCM) of 68491 and 68498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68491 and 68498. First we will calculate the prime factors of 68491 and 68498.

Prime Factorization of 68491

Prime factors of 68491 are 68491. Prime factorization of 68491 in exponential form is:

68491 = 684911

Prime Factorization of 68498

Prime factors of 68498 are 2, 29, 1181. Prime factorization of 68498 in exponential form is:

68498 = 21 × 291 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 68491 and 68498.

LCM(68491,68498) = 684911 × 21 × 291 × 11811
LCM(68491,68498) = 4691496518