What is the Least Common Multiple of 98978 and 98996?

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 98978 and 98996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98978 and 98996, than apply into the LCM equation.

GCF(98978,98996) = 2
LCM(98978,98996) = ( 98978 × 98996) / 2
LCM(98978,98996) = 9798426088 / 2
LCM(98978,98996) = 4899213044

Least Common Multiple (LCM) of 98978 and 98996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98978 and 98996. First we will calculate the prime factors of 98978 and 98996.

Prime Factorization of 98978

Prime Factorization of 98996

Now multiplying the highest exponent prime factors to calculate the LCM of 98978 and 98996.

LCM(98978,98996) = 2² × 11² × 409¹ × 24749¹
LCM(98978,98996) = 4899213044