What is the Least Common Multiple of 70539 and 70546?

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 70539 and 70546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70539 and 70546, than apply into the LCM equation.

GCF(70539,70546) = 7
LCM(70539,70546) = ( 70539 × 70546) / 7
LCM(70539,70546) = 4976244294 / 7
LCM(70539,70546) = 710892042

Least Common Multiple (LCM) of 70539 and 70546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70539 and 70546. First we will calculate the prime factors of 70539 and 70546.

Prime Factorization of 70539

Prime Factorization of 70546

Now multiplying the highest exponent prime factors to calculate the LCM of 70539 and 70546.

LCM(70539,70546) = 3¹ × 7¹ × 3359¹ × 2¹ × 5039¹
LCM(70539,70546) = 710892042