What is the Least Common Multiple of 71745 and 71750?

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 71745 and 71750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71745 and 71750, than apply into the LCM equation.

GCF(71745,71750) = 5
LCM(71745,71750) = ( 71745 × 71750) / 5
LCM(71745,71750) = 5147703750 / 5
LCM(71745,71750) = 1029540750

Least Common Multiple (LCM) of 71745 and 71750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71745 and 71750. First we will calculate the prime factors of 71745 and 71750.

Prime Factorization of 71745

Prime Factorization of 71750

Now multiplying the highest exponent prime factors to calculate the LCM of 71745 and 71750.

LCM(71745,71750) = 3¹ × 5³ × 4783¹ × 2¹ × 7¹ × 41¹
LCM(71745,71750) = 1029540750