What is the Least Common Multiple of 75698 and 75718?

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 75698 and 75718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75698 and 75718, than apply into the LCM equation.

GCF(75698,75718) = 2
LCM(75698,75718) = ( 75698 × 75718) / 2
LCM(75698,75718) = 5731701164 / 2
LCM(75698,75718) = 2865850582

Least Common Multiple (LCM) of 75698 and 75718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75698 and 75718. First we will calculate the prime factors of 75698 and 75718.

Prime Factorization of 75698

Prime Factorization of 75718

Now multiplying the highest exponent prime factors to calculate the LCM of 75698 and 75718.

LCM(75698,75718) = 2¹ × 7¹ × 5407¹ × 17² × 131¹
LCM(75698,75718) = 2865850582