What is the Least Common Multiple of 34770 and 34790?

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 34770 and 34790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34770 and 34790, than apply into the LCM equation.

GCF(34770,34790) = 10
LCM(34770,34790) = ( 34770 × 34790) / 10
LCM(34770,34790) = 1209648300 / 10
LCM(34770,34790) = 120964830

Least Common Multiple (LCM) of 34770 and 34790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34770 and 34790. First we will calculate the prime factors of 34770 and 34790.

Prime Factorization of 34770

Prime Factorization of 34790

Now multiplying the highest exponent prime factors to calculate the LCM of 34770 and 34790.

LCM(34770,34790) = 2¹ × 3¹ × 5¹ × 19¹ × 61¹ × 7² × 71¹
LCM(34770,34790) = 120964830