What is the Least Common Multiple of 34902 and 34910?

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 34902 and 34910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34902 and 34910, than apply into the LCM equation.

GCF(34902,34910) = 2
LCM(34902,34910) = ( 34902 × 34910) / 2
LCM(34902,34910) = 1218428820 / 2
LCM(34902,34910) = 609214410

Least Common Multiple (LCM) of 34902 and 34910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34902 and 34910. First we will calculate the prime factors of 34902 and 34910.

Prime Factorization of 34902

Prime Factorization of 34910

Now multiplying the highest exponent prime factors to calculate the LCM of 34902 and 34910.

LCM(34902,34910) = 2¹ × 3² × 7¹ × 277¹ × 5¹ × 3491¹
LCM(34902,34910) = 609214410