What is the Least Common Multiple of 34854 and 34870?

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 34854 and 34870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34854 and 34870, than apply into the LCM equation.

GCF(34854,34870) = 2
LCM(34854,34870) = ( 34854 × 34870) / 2
LCM(34854,34870) = 1215358980 / 2
LCM(34854,34870) = 607679490

Least Common Multiple (LCM) of 34854 and 34870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34854 and 34870. First we will calculate the prime factors of 34854 and 34870.

Prime Factorization of 34854

Prime Factorization of 34870

Now multiplying the highest exponent prime factors to calculate the LCM of 34854 and 34870.

LCM(34854,34870) = 2¹ × 3¹ × 37¹ × 157¹ × 5¹ × 11¹ × 317¹
LCM(34854,34870) = 607679490