What is the Least Common Multiple of 97996 and 98003?

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 97996 and 98003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97996 and 98003, than apply into the LCM equation.

GCF(97996,98003) = 1
LCM(97996,98003) = ( 97996 × 98003) / 1
LCM(97996,98003) = 9603901988 / 1
LCM(97996,98003) = 9603901988

Least Common Multiple (LCM) of 97996 and 98003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97996 and 98003. First we will calculate the prime factors of 97996 and 98003.

Prime Factorization of 97996

Prime Factorization of 98003

Now multiplying the highest exponent prime factors to calculate the LCM of 97996 and 98003.

LCM(97996,98003) = 2² × 24499¹ × 23¹ × 4261¹
LCM(97996,98003) = 9603901988