What is the Least Common Multiple of 68065 and 68075?

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 68065 and 68075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68065 and 68075, than apply into the LCM equation.

GCF(68065,68075) = 5
LCM(68065,68075) = ( 68065 × 68075) / 5
LCM(68065,68075) = 4633524875 / 5
LCM(68065,68075) = 926704975

Least Common Multiple (LCM) of 68065 and 68075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68065 and 68075. First we will calculate the prime factors of 68065 and 68075.

Prime Factorization of 68065

Prime Factorization of 68075

Now multiplying the highest exponent prime factors to calculate the LCM of 68065 and 68075.

LCM(68065,68075) = 5² × 13613¹ × 7¹ × 389¹
LCM(68065,68075) = 926704975