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What is the Least Common Multiple of 68458 and 68478?

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 68458 and 68478 is 2343933462.

LCM(68458,68478) = 2343933462

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Least Common Multiple of 68458 and 68478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68458 and 68478, than apply into the LCM equation.

GCF(68458,68478) = 2
LCM(68458,68478) = ( 68458 × 68478) / 2
LCM(68458,68478) = 4687866924 / 2
LCM(68458,68478) = 2343933462

Least Common Multiple (LCM) of 68458 and 68478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68458 and 68478. First we will calculate the prime factors of 68458 and 68478.

Prime Factorization of 68458

Prime factors of 68458 are 2, 13, 2633. Prime factorization of 68458 in exponential form is:

68458 = 21 × 131 × 26331

Prime Factorization of 68478

Prime factors of 68478 are 2, 3, 101, 113. Prime factorization of 68478 in exponential form is:

68478 = 21 × 31 × 1011 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 68458 and 68478.

LCM(68458,68478) = 21 × 131 × 26331 × 31 × 1011 × 1131
LCM(68458,68478) = 2343933462