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What is the Least Common Multiple of 70273 and 70293?

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 70273 and 70293 is 4939699989.

LCM(70273,70293) = 4939699989

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Least Common Multiple of 70273 and 70293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70273 and 70293, than apply into the LCM equation.

GCF(70273,70293) = 1
LCM(70273,70293) = ( 70273 × 70293) / 1
LCM(70273,70293) = 4939699989 / 1
LCM(70273,70293) = 4939699989

Least Common Multiple (LCM) of 70273 and 70293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70273 and 70293. First we will calculate the prime factors of 70273 and 70293.

Prime Factorization of 70273

Prime factors of 70273 are 7, 10039. Prime factorization of 70273 in exponential form is:

70273 = 71 × 100391

Prime Factorization of 70293

Prime factors of 70293 are 3, 23431. Prime factorization of 70293 in exponential form is:

70293 = 31 × 234311

Now multiplying the highest exponent prime factors to calculate the LCM of 70273 and 70293.

LCM(70273,70293) = 71 × 100391 × 31 × 234311
LCM(70273,70293) = 4939699989