What is the Least Common Multiple of 14100 and 14105?

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 14100 and 14105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14100 and 14105, than apply into the LCM equation.

GCF(14100,14105) = 5
LCM(14100,14105) = ( 14100 × 14105) / 5
LCM(14100,14105) = 198880500 / 5
LCM(14100,14105) = 39776100

Least Common Multiple (LCM) of 14100 and 14105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14100 and 14105. First we will calculate the prime factors of 14100 and 14105.

Prime Factorization of 14100

Prime Factorization of 14105

Now multiplying the highest exponent prime factors to calculate the LCM of 14100 and 14105.

LCM(14100,14105) = 2² × 3¹ × 5² × 47¹ × 7¹ × 13¹ × 31¹
LCM(14100,14105) = 39776100