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What is the Least Common Multiple of 70789 and 70795?

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 70789 and 70795 is 5011507255.

LCM(70789,70795) = 5011507255

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Least Common Multiple of 70789 and 70795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70789 and 70795, than apply into the LCM equation.

GCF(70789,70795) = 1
LCM(70789,70795) = ( 70789 × 70795) / 1
LCM(70789,70795) = 5011507255 / 1
LCM(70789,70795) = 5011507255

Least Common Multiple (LCM) of 70789 and 70795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70789 and 70795. First we will calculate the prime factors of 70789 and 70795.

Prime Factorization of 70789

Prime factors of 70789 are 29, 2441. Prime factorization of 70789 in exponential form is:

70789 = 291 × 24411

Prime Factorization of 70795

Prime factors of 70795 are 5, 14159. Prime factorization of 70795 in exponential form is:

70795 = 51 × 141591

Now multiplying the highest exponent prime factors to calculate the LCM of 70789 and 70795.

LCM(70789,70795) = 291 × 24411 × 51 × 141591
LCM(70789,70795) = 5011507255