What is the Least Common Multiple of 98996 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 98996 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 98996 and 99008, than apply into the LCM equation.

GCF(98996,99008) = 4
LCM(98996,99008) = ( 98996 × 99008) / 4
LCM(98996,99008) = 9801395968 / 4
LCM(98996,99008) = 2450348992

Least Common Multiple (LCM) of 98996 and 99008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98996 and 99008. First we will calculate the prime factors of 98996 and 99008.

Prime Factorization of 98996

Prime Factorization of 99008

Now multiplying the highest exponent prime factors to calculate the LCM of 98996 and 99008.

LCM(98996,99008) = 2⁶ × 24749¹ × 7¹ × 13¹ × 17¹
LCM(98996,99008) = 2450348992