What is the Least Common Multiple of 96738 and 96752?

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 96738 and 96752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96738 and 96752, than apply into the LCM equation.

GCF(96738,96752) = 2
LCM(96738,96752) = ( 96738 × 96752) / 2
LCM(96738,96752) = 9359594976 / 2
LCM(96738,96752) = 4679797488

Least Common Multiple (LCM) of 96738 and 96752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96738 and 96752. First we will calculate the prime factors of 96738 and 96752.

Prime Factorization of 96738

Prime Factorization of 96752

Now multiplying the highest exponent prime factors to calculate the LCM of 96738 and 96752.

LCM(96738,96752) = 2⁴ × 3¹ × 23¹ × 701¹ × 6047¹
LCM(96738,96752) = 4679797488