What is the Least Common Multiple of 66096 and 66101?

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 66096 and 66101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66096 and 66101, than apply into the LCM equation.

GCF(66096,66101) = 1
LCM(66096,66101) = ( 66096 × 66101) / 1
LCM(66096,66101) = 4369011696 / 1
LCM(66096,66101) = 4369011696

Least Common Multiple (LCM) of 66096 and 66101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66096 and 66101. First we will calculate the prime factors of 66096 and 66101.

Prime Factorization of 66096

Prime Factorization of 66101

Now multiplying the highest exponent prime factors to calculate the LCM of 66096 and 66101.

LCM(66096,66101) = 2⁴ × 3⁵ × 17¹ × 7² × 19¹ × 71¹
LCM(66096,66101) = 4369011696