What is the Least Common Multiple of 14130 and 14135?

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 14130 and 14135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14130 and 14135, than apply into the LCM equation.

GCF(14130,14135) = 5
LCM(14130,14135) = ( 14130 × 14135) / 5
LCM(14130,14135) = 199727550 / 5
LCM(14130,14135) = 39945510

Least Common Multiple (LCM) of 14130 and 14135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14130 and 14135. First we will calculate the prime factors of 14130 and 14135.

Prime Factorization of 14130

Prime Factorization of 14135

Now multiplying the highest exponent prime factors to calculate the LCM of 14130 and 14135.

LCM(14130,14135) = 2¹ × 3² × 5¹ × 157¹ × 11¹ × 257¹
LCM(14130,14135) = 39945510