What is the Least Common Multiple of 16070 and 16075?

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 16070 and 16075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16070 and 16075, than apply into the LCM equation.

GCF(16070,16075) = 5
LCM(16070,16075) = ( 16070 × 16075) / 5
LCM(16070,16075) = 258325250 / 5
LCM(16070,16075) = 51665050

Least Common Multiple (LCM) of 16070 and 16075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16070 and 16075. First we will calculate the prime factors of 16070 and 16075.

Prime Factorization of 16070

Prime Factorization of 16075

Now multiplying the highest exponent prime factors to calculate the LCM of 16070 and 16075.

LCM(16070,16075) = 2¹ × 5² × 1607¹ × 643¹
LCM(16070,16075) = 51665050