What is the Least Common Multiple of 70545 and 70564?

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 70545 and 70564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70545 and 70564, than apply into the LCM equation.

GCF(70545,70564) = 1
LCM(70545,70564) = ( 70545 × 70564) / 1
LCM(70545,70564) = 4977937380 / 1
LCM(70545,70564) = 4977937380

Least Common Multiple (LCM) of 70545 and 70564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70545 and 70564. First we will calculate the prime factors of 70545 and 70564.

Prime Factorization of 70545

Prime Factorization of 70564

Now multiplying the highest exponent prime factors to calculate the LCM of 70545 and 70564.

LCM(70545,70564) = 3¹ × 5¹ × 4703¹ × 2² × 13¹ × 23¹ × 59¹
LCM(70545,70564) = 4977937380