What is the Least Common Multiple of 70785 and 70805?

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 of 70785 and 70805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70785 and 70805, than apply into the LCM equation.

GCF(70785,70805) = 5
LCM(70785,70805) = ( 70785 × 70805) / 5
LCM(70785,70805) = 5011931925 / 5
LCM(70785,70805) = 1002386385

Least Common Multiple (LCM) of 70785 and 70805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70785 and 70805. First we will calculate the prime factors of 70785 and 70805.

Prime Factorization of 70785

Prime Factorization of 70805

Now multiplying the highest exponent prime factors to calculate the LCM of 70785 and 70805.

LCM(70785,70805) = 3² × 5¹ × 11² × 13¹ × 7² × 17²
LCM(70785,70805) = 1002386385