GCF and LCM Calculator Logo

What is the Least Common Multiple of 98967 and 98979?

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 (LCM) of 98967 and 98979 is 3265218231.

LCM(98967,98979) = 3265218231

LCM Calculator and
and

Least Common Multiple of 98967 and 98979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98967 and 98979, than apply into the LCM equation.

GCF(98967,98979) = 3
LCM(98967,98979) = ( 98967 × 98979) / 3
LCM(98967,98979) = 9795654693 / 3
LCM(98967,98979) = 3265218231

Least Common Multiple (LCM) of 98967 and 98979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98967 and 98979. First we will calculate the prime factors of 98967 and 98979.

Prime Factorization of 98967

Prime factors of 98967 are 3, 11, 2999. Prime factorization of 98967 in exponential form is:

98967 = 31 × 111 × 29991

Prime Factorization of 98979

Prime factors of 98979 are 3, 32993. Prime factorization of 98979 in exponential form is:

98979 = 31 × 329931

Now multiplying the highest exponent prime factors to calculate the LCM of 98967 and 98979.

LCM(98967,98979) = 31 × 111 × 29991 × 329931
LCM(98967,98979) = 3265218231