What is the Least Common Multiple of 75585 and 75597?

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 75585 and 75597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75585 and 75597, than apply into the LCM equation.

GCF(75585,75597) = 3
LCM(75585,75597) = ( 75585 × 75597) / 3
LCM(75585,75597) = 5713999245 / 3
LCM(75585,75597) = 1904666415

Least Common Multiple (LCM) of 75585 and 75597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75585 and 75597. First we will calculate the prime factors of 75585 and 75597.

Prime Factorization of 75585

Prime Factorization of 75597

Now multiplying the highest exponent prime factors to calculate the LCM of 75585 and 75597.

LCM(75585,75597) = 3¹ × 5¹ × 5039¹ × 113¹ × 223¹
LCM(75585,75597) = 1904666415