What is the Least Common Multiple of 97999 and 98009?

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 97999 and 98009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97999 and 98009, than apply into the LCM equation.

GCF(97999,98009) = 1
LCM(97999,98009) = ( 97999 × 98009) / 1
LCM(97999,98009) = 9604783991 / 1
LCM(97999,98009) = 9604783991

Least Common Multiple (LCM) of 97999 and 98009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97999 and 98009. First we will calculate the prime factors of 97999 and 98009.

Prime Factorization of 97999

Prime Factorization of 98009

Now multiplying the highest exponent prime factors to calculate the LCM of 97999 and 98009.

LCM(97999,98009) = 11¹ × 59¹ × 151¹ × 98009¹
LCM(97999,98009) = 9604783991