What is the Least Common Multiple of 96984 and 97003?

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 96984 and 97003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96984 and 97003, than apply into the LCM equation.

GCF(96984,97003) = 1
LCM(96984,97003) = ( 96984 × 97003) / 1
LCM(96984,97003) = 9407738952 / 1
LCM(96984,97003) = 9407738952

Least Common Multiple (LCM) of 96984 and 97003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96984 and 97003. First we will calculate the prime factors of 96984 and 97003.

Prime Factorization of 96984

Prime Factorization of 97003

Now multiplying the highest exponent prime factors to calculate the LCM of 96984 and 97003.

LCM(96984,97003) = 2³ × 3³ × 449¹ × 97003¹
LCM(96984,97003) = 9407738952