What is the Least Common Multiple of 91098 and 91103?

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 91098 and 91103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91098 and 91103, than apply into the LCM equation.

GCF(91098,91103) = 1
LCM(91098,91103) = ( 91098 × 91103) / 1
LCM(91098,91103) = 8299301094 / 1
LCM(91098,91103) = 8299301094

Least Common Multiple (LCM) of 91098 and 91103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91098 and 91103. First we will calculate the prime factors of 91098 and 91103.

Prime Factorization of 91098

Prime Factorization of 91103

Now multiplying the highest exponent prime factors to calculate the LCM of 91098 and 91103.

LCM(91098,91103) = 2¹ × 3³ × 7¹ × 241¹ × 17¹ × 23¹ × 233¹
LCM(91098,91103) = 8299301094