What is the Least Common Multiple of 75465 and 75485?

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 75465 and 75485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75465 and 75485, than apply into the LCM equation.

GCF(75465,75485) = 5
LCM(75465,75485) = ( 75465 × 75485) / 5
LCM(75465,75485) = 5696475525 / 5
LCM(75465,75485) = 1139295105

Least Common Multiple (LCM) of 75465 and 75485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75465 and 75485. First we will calculate the prime factors of 75465 and 75485.

Prime Factorization of 75465

Prime Factorization of 75485

Now multiplying the highest exponent prime factors to calculate the LCM of 75465 and 75485.

LCM(75465,75485) = 3³ × 5¹ × 13¹ × 43¹ × 31¹ × 487¹
LCM(75465,75485) = 1139295105