What is the Least Common Multiple of 75458 and 75465?

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 75458 and 75465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75458 and 75465, than apply into the LCM equation.

GCF(75458,75465) = 1
LCM(75458,75465) = ( 75458 × 75465) / 1
LCM(75458,75465) = 5694437970 / 1
LCM(75458,75465) = 5694437970

Least Common Multiple (LCM) of 75458 and 75465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75458 and 75465. First we will calculate the prime factors of 75458 and 75465.

Prime Factorization of 75458

Prime Factorization of 75465

Now multiplying the highest exponent prime factors to calculate the LCM of 75458 and 75465.

LCM(75458,75465) = 2¹ × 29¹ × 1301¹ × 3³ × 5¹ × 13¹ × 43¹
LCM(75458,75465) = 5694437970