What is the Least Common Multiple of 14070 and 14075?

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 14070 and 14075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14070 and 14075, than apply into the LCM equation.

GCF(14070,14075) = 5
LCM(14070,14075) = ( 14070 × 14075) / 5
LCM(14070,14075) = 198035250 / 5
LCM(14070,14075) = 39607050

Least Common Multiple (LCM) of 14070 and 14075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14070 and 14075. First we will calculate the prime factors of 14070 and 14075.

Prime Factorization of 14070

Prime Factorization of 14075

Now multiplying the highest exponent prime factors to calculate the LCM of 14070 and 14075.

LCM(14070,14075) = 2¹ × 3¹ × 5² × 7¹ × 67¹ × 563¹
LCM(14070,14075) = 39607050