What is the Least Common Multiple of 75691 and 75698?

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 75691 and 75698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75691 and 75698, than apply into the LCM equation.

GCF(75691,75698) = 7
LCM(75691,75698) = ( 75691 × 75698) / 7
LCM(75691,75698) = 5729657318 / 7
LCM(75691,75698) = 818522474

Least Common Multiple (LCM) of 75691 and 75698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75691 and 75698. First we will calculate the prime factors of 75691 and 75698.

Prime Factorization of 75691

Prime Factorization of 75698

Now multiplying the highest exponent prime factors to calculate the LCM of 75691 and 75698.

LCM(75691,75698) = 7¹ × 11¹ × 983¹ × 2¹ × 5407¹
LCM(75691,75698) = 818522474