What is the Least Common Multiple of 70830 and 70838?

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 70830 and 70838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70830 and 70838, than apply into the LCM equation.

GCF(70830,70838) = 2
LCM(70830,70838) = ( 70830 × 70838) / 2
LCM(70830,70838) = 5017455540 / 2
LCM(70830,70838) = 2508727770

Least Common Multiple (LCM) of 70830 and 70838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70830 and 70838. First we will calculate the prime factors of 70830 and 70838.

Prime Factorization of 70830

Prime Factorization of 70838

Now multiplying the highest exponent prime factors to calculate the LCM of 70830 and 70838.

LCM(70830,70838) = 2¹ × 3² × 5¹ × 787¹ × 35419¹
LCM(70830,70838) = 2508727770