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What is the Least Common Multiple of 68453 and 68462?

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 68453 and 68462 is 4686429286.

LCM(68453,68462) = 4686429286

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Least Common Multiple of 68453 and 68462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68453 and 68462, than apply into the LCM equation.

GCF(68453,68462) = 1
LCM(68453,68462) = ( 68453 × 68462) / 1
LCM(68453,68462) = 4686429286 / 1
LCM(68453,68462) = 4686429286

Least Common Multiple (LCM) of 68453 and 68462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68453 and 68462. First we will calculate the prime factors of 68453 and 68462.

Prime Factorization of 68453

Prime factors of 68453 are 7, 11, 127. Prime factorization of 68453 in exponential form is:

68453 = 72 × 111 × 1271

Prime Factorization of 68462

Prime factors of 68462 are 2, 34231. Prime factorization of 68462 in exponential form is:

68462 = 21 × 342311

Now multiplying the highest exponent prime factors to calculate the LCM of 68453 and 68462.

LCM(68453,68462) = 72 × 111 × 1271 × 21 × 342311
LCM(68453,68462) = 4686429286