What is the Least Common Multiple of 38100 and 38105?

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 38100 and 38105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38100 and 38105, than apply into the LCM equation.

GCF(38100,38105) = 5
LCM(38100,38105) = ( 38100 × 38105) / 5
LCM(38100,38105) = 1451800500 / 5
LCM(38100,38105) = 290360100

Least Common Multiple (LCM) of 38100 and 38105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38100 and 38105. First we will calculate the prime factors of 38100 and 38105.

Prime Factorization of 38100

Prime Factorization of 38105

Now multiplying the highest exponent prime factors to calculate the LCM of 38100 and 38105.

LCM(38100,38105) = 2² × 3¹ × 5² × 127¹ × 7621¹
LCM(38100,38105) = 290360100