What is the Least Common Multiple of 96195 and 96206?

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 96195 and 96206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96195 and 96206, than apply into the LCM equation.

GCF(96195,96206) = 11
LCM(96195,96206) = ( 96195 × 96206) / 11
LCM(96195,96206) = 9254536170 / 11
LCM(96195,96206) = 841321470

Least Common Multiple (LCM) of 96195 and 96206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96195 and 96206. First we will calculate the prime factors of 96195 and 96206.

Prime Factorization of 96195

Prime Factorization of 96206

Now multiplying the highest exponent prime factors to calculate the LCM of 96195 and 96206.

LCM(96195,96206) = 3¹ × 5¹ × 11² × 53¹ × 2¹ × 4373¹
LCM(96195,96206) = 841321470