What is the Least Common Multiple of 13100 and 13105?

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 13100 and 13105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13100 and 13105, than apply into the LCM equation.

GCF(13100,13105) = 5
LCM(13100,13105) = ( 13100 × 13105) / 5
LCM(13100,13105) = 171675500 / 5
LCM(13100,13105) = 34335100

Least Common Multiple (LCM) of 13100 and 13105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13100 and 13105. First we will calculate the prime factors of 13100 and 13105.

Prime Factorization of 13100

Prime Factorization of 13105

Now multiplying the highest exponent prime factors to calculate the LCM of 13100 and 13105.

LCM(13100,13105) = 2² × 5² × 131¹ × 2621¹
LCM(13100,13105) = 34335100