What is the Least Common Multiple of 34900 and 34905?

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 34900 and 34905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34900 and 34905, than apply into the LCM equation.

GCF(34900,34905) = 5
LCM(34900,34905) = ( 34900 × 34905) / 5
LCM(34900,34905) = 1218184500 / 5
LCM(34900,34905) = 243636900

Least Common Multiple (LCM) of 34900 and 34905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34900 and 34905. First we will calculate the prime factors of 34900 and 34905.

Prime Factorization of 34900

Prime Factorization of 34905

Now multiplying the highest exponent prime factors to calculate the LCM of 34900 and 34905.

LCM(34900,34905) = 2² × 5² × 349¹ × 3¹ × 13¹ × 179¹
LCM(34900,34905) = 243636900