What is the Least Common Multiple of 70053 and 70059?

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 70053 and 70059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70053 and 70059, than apply into the LCM equation.

GCF(70053,70059) = 3
LCM(70053,70059) = ( 70053 × 70059) / 3
LCM(70053,70059) = 4907843127 / 3
LCM(70053,70059) = 1635947709

Least Common Multiple (LCM) of 70053 and 70059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70053 and 70059. First we will calculate the prime factors of 70053 and 70059.

Prime Factorization of 70053

Prime Factorization of 70059

Now multiplying the highest exponent prime factors to calculate the LCM of 70053 and 70059.

LCM(70053,70059) = 3¹ × 19¹ × 1229¹ × 11² × 193¹
LCM(70053,70059) = 1635947709