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What is the Least Common Multiple of 68456 and 68460?

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 68456 and 68460 is 1171624440.

LCM(68456,68460) = 1171624440

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Least Common Multiple of 68456 and 68460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68456 and 68460, than apply into the LCM equation.

GCF(68456,68460) = 4
LCM(68456,68460) = ( 68456 × 68460) / 4
LCM(68456,68460) = 4686497760 / 4
LCM(68456,68460) = 1171624440

Least Common Multiple (LCM) of 68456 and 68460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68456 and 68460. First we will calculate the prime factors of 68456 and 68460.

Prime Factorization of 68456

Prime factors of 68456 are 2, 43, 199. Prime factorization of 68456 in exponential form is:

68456 = 23 × 431 × 1991

Prime Factorization of 68460

Prime factors of 68460 are 2, 3, 5, 7, 163. Prime factorization of 68460 in exponential form is:

68460 = 22 × 31 × 51 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 68456 and 68460.

LCM(68456,68460) = 23 × 431 × 1991 × 31 × 51 × 71 × 1631
LCM(68456,68460) = 1171624440