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What is the Least Common Multiple of 70363 and 70370?

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 70363 and 70370 is 4951444310.

LCM(70363,70370) = 4951444310

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Least Common Multiple of 70363 and 70370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70363 and 70370, than apply into the LCM equation.

GCF(70363,70370) = 1
LCM(70363,70370) = ( 70363 × 70370) / 1
LCM(70363,70370) = 4951444310 / 1
LCM(70363,70370) = 4951444310

Least Common Multiple (LCM) of 70363 and 70370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70363 and 70370. First we will calculate the prime factors of 70363 and 70370.

Prime Factorization of 70363

Prime factors of 70363 are 17, 4139. Prime factorization of 70363 in exponential form is:

70363 = 171 × 41391

Prime Factorization of 70370

Prime factors of 70370 are 2, 5, 31, 227. Prime factorization of 70370 in exponential form is:

70370 = 21 × 51 × 311 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 70363 and 70370.

LCM(70363,70370) = 171 × 41391 × 21 × 51 × 311 × 2271
LCM(70363,70370) = 4951444310