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What is the Least Common Multiple of 70273 and 70277?

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 70277 is 4938575621.

LCM(70273,70277) = 4938575621

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Least Common Multiple of 70273 and 70277 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 70277, than apply into the LCM equation.

GCF(70273,70277) = 1
LCM(70273,70277) = ( 70273 × 70277) / 1
LCM(70273,70277) = 4938575621 / 1
LCM(70273,70277) = 4938575621

Least Common Multiple (LCM) of 70273 and 70277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70273 and 70277. First we will calculate the prime factors of 70273 and 70277.

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 70277

Prime factors of 70277 are 31, 2267. Prime factorization of 70277 in exponential form is:

70277 = 311 × 22671

Now multiplying the highest exponent prime factors to calculate the LCM of 70273 and 70277.

LCM(70273,70277) = 71 × 100391 × 311 × 22671
LCM(70273,70277) = 4938575621