What is the Least Common Multiple of 97983 and 98001?

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 97983 and 98001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97983 and 98001, than apply into the LCM equation.

GCF(97983,98001) = 9
LCM(97983,98001) = ( 97983 × 98001) / 9
LCM(97983,98001) = 9602431983 / 9
LCM(97983,98001) = 1066936887

Least Common Multiple (LCM) of 97983 and 98001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97983 and 98001. First we will calculate the prime factors of 97983 and 98001.

Prime Factorization of 97983

Prime Factorization of 98001

Now multiplying the highest exponent prime factors to calculate the LCM of 97983 and 98001.

LCM(97983,98001) = 3³ × 19¹ × 191¹ × 10889¹
LCM(97983,98001) = 1066936887