What is the Least Common Multiple of 96689 and 96693?

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 96689 and 96693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96689 and 96693, than apply into the LCM equation.

GCF(96689,96693) = 1
LCM(96689,96693) = ( 96689 × 96693) / 1
LCM(96689,96693) = 9349149477 / 1
LCM(96689,96693) = 9349149477

Least Common Multiple (LCM) of 96689 and 96693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96689 and 96693. First we will calculate the prime factors of 96689 and 96693.

Prime Factorization of 96689

Prime Factorization of 96693

Now multiplying the highest exponent prime factors to calculate the LCM of 96689 and 96693.

LCM(96689,96693) = 31¹ × 3119¹ × 3¹ × 167¹ × 193¹
LCM(96689,96693) = 9349149477