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What is the Least Common Multiple of 70273 and 70290?

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 70290 is 4939489170.

LCM(70273,70290) = 4939489170

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Least Common Multiple of 70273 and 70290 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 70290, than apply into the LCM equation.

GCF(70273,70290) = 1
LCM(70273,70290) = ( 70273 × 70290) / 1
LCM(70273,70290) = 4939489170 / 1
LCM(70273,70290) = 4939489170

Least Common Multiple (LCM) of 70273 and 70290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70273 and 70290. First we will calculate the prime factors of 70273 and 70290.

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 70290

Prime factors of 70290 are 2, 3, 5, 11, 71. Prime factorization of 70290 in exponential form is:

70290 = 21 × 32 × 51 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 70273 and 70290.

LCM(70273,70290) = 71 × 100391 × 21 × 32 × 51 × 111 × 711
LCM(70273,70290) = 4939489170