What is the Least Common Multiple of 71065 and 71075?

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 71065 and 71075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71065 and 71075, than apply into the LCM equation.

GCF(71065,71075) = 5
LCM(71065,71075) = ( 71065 × 71075) / 5
LCM(71065,71075) = 5050944875 / 5
LCM(71065,71075) = 1010188975

Least Common Multiple (LCM) of 71065 and 71075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71065 and 71075. First we will calculate the prime factors of 71065 and 71075.

Prime Factorization of 71065

Prime Factorization of 71075

Now multiplying the highest exponent prime factors to calculate the LCM of 71065 and 71075.

LCM(71065,71075) = 5² × 61¹ × 233¹ × 2843¹
LCM(71065,71075) = 1010188975