What is the Least Common Multiple of 34910 and 34920?

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 34910 and 34920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34910 and 34920, than apply into the LCM equation.

GCF(34910,34920) = 10
LCM(34910,34920) = ( 34910 × 34920) / 10
LCM(34910,34920) = 1219057200 / 10
LCM(34910,34920) = 121905720

Least Common Multiple (LCM) of 34910 and 34920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34910 and 34920. First we will calculate the prime factors of 34910 and 34920.

Prime Factorization of 34910

Prime Factorization of 34920

Now multiplying the highest exponent prime factors to calculate the LCM of 34910 and 34920.

LCM(34910,34920) = 2³ × 5¹ × 3491¹ × 3² × 97¹
LCM(34910,34920) = 121905720