What is the Least Common Multiple of 70545 and 70555?

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 70555 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 70555, than apply into the LCM equation.

GCF(70545,70555) = 5
LCM(70545,70555) = ( 70545 × 70555) / 5
LCM(70545,70555) = 4977302475 / 5
LCM(70545,70555) = 995460495

Least Common Multiple (LCM) of 70545 and 70555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70545 and 70555. First we will calculate the prime factors of 70545 and 70555.

Prime Factorization of 70545

Prime Factorization of 70555

Now multiplying the highest exponent prime factors to calculate the LCM of 70545 and 70555.

LCM(70545,70555) = 3¹ × 5¹ × 4703¹ × 103¹ × 137¹
LCM(70545,70555) = 995460495