What is the Least Common Multiple of 34890 and 34900?

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 34890 and 34900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34890 and 34900, than apply into the LCM equation.

GCF(34890,34900) = 10
LCM(34890,34900) = ( 34890 × 34900) / 10
LCM(34890,34900) = 1217661000 / 10
LCM(34890,34900) = 121766100

Least Common Multiple (LCM) of 34890 and 34900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34890 and 34900. First we will calculate the prime factors of 34890 and 34900.

Prime Factorization of 34890

Prime Factorization of 34900

Now multiplying the highest exponent prime factors to calculate the LCM of 34890 and 34900.

LCM(34890,34900) = 2² × 3¹ × 5² × 1163¹ × 349¹
LCM(34890,34900) = 121766100