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What is the Least Common Multiple of 70726 and 70730?

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 70726 and 70730 is 2501224990.

LCM(70726,70730) = 2501224990

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Least Common Multiple of 70726 and 70730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70726 and 70730, than apply into the LCM equation.

GCF(70726,70730) = 2
LCM(70726,70730) = ( 70726 × 70730) / 2
LCM(70726,70730) = 5002449980 / 2
LCM(70726,70730) = 2501224990

Least Common Multiple (LCM) of 70726 and 70730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70726 and 70730. First we will calculate the prime factors of 70726 and 70730.

Prime Factorization of 70726

Prime factors of 70726 are 2, 35363. Prime factorization of 70726 in exponential form is:

70726 = 21 × 353631

Prime Factorization of 70730

Prime factors of 70730 are 2, 5, 11, 643. Prime factorization of 70730 in exponential form is:

70730 = 21 × 51 × 111 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 70726 and 70730.

LCM(70726,70730) = 21 × 353631 × 51 × 111 × 6431
LCM(70726,70730) = 2501224990