What is the Least Common Multiple of 98992 and 99008?

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 98992 and 99008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98992 and 99008, than apply into the LCM equation.

GCF(98992,99008) = 16
LCM(98992,99008) = ( 98992 × 99008) / 16
LCM(98992,99008) = 9800999936 / 16
LCM(98992,99008) = 612562496

Least Common Multiple (LCM) of 98992 and 99008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98992 and 99008. First we will calculate the prime factors of 98992 and 99008.

Prime Factorization of 98992

Prime Factorization of 99008

Now multiplying the highest exponent prime factors to calculate the LCM of 98992 and 99008.

LCM(98992,99008) = 2⁶ × 23¹ × 269¹ × 7¹ × 13¹ × 17¹
LCM(98992,99008) = 612562496