What is the Least Common Multiple of 75597 and 75606?

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 75597 and 75606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75597 and 75606, than apply into the LCM equation.

GCF(75597,75606) = 3
LCM(75597,75606) = ( 75597 × 75606) / 3
LCM(75597,75606) = 5715586782 / 3
LCM(75597,75606) = 1905195594

Least Common Multiple (LCM) of 75597 and 75606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75597 and 75606. First we will calculate the prime factors of 75597 and 75606.

Prime Factorization of 75597

Prime Factorization of 75606

Now multiplying the highest exponent prime factors to calculate the LCM of 75597 and 75606.

LCM(75597,75606) = 3¹ × 113¹ × 223¹ × 2¹ × 12601¹
LCM(75597,75606) = 1905195594