What is the Least Common Multiple of 93603 and 93623?

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 93603 and 93623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93603 and 93623, than apply into the LCM equation.

GCF(93603,93623) = 1
LCM(93603,93623) = ( 93603 × 93623) / 1
LCM(93603,93623) = 8763393669 / 1
LCM(93603,93623) = 8763393669

Least Common Multiple (LCM) of 93603 and 93623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93603 and 93623. First we will calculate the prime factors of 93603 and 93623.

Prime Factorization of 93603

Prime Factorization of 93623

Now multiplying the highest exponent prime factors to calculate the LCM of 93603 and 93623.

LCM(93603,93623) = 3¹ × 41¹ × 761¹ × 251¹ × 373¹
LCM(93603,93623) = 8763393669