What is the Least Common Multiple of 25098 and 25103?

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 25098 and 25103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25098 and 25103, than apply into the LCM equation.

GCF(25098,25103) = 1
LCM(25098,25103) = ( 25098 × 25103) / 1
LCM(25098,25103) = 630035094 / 1
LCM(25098,25103) = 630035094

Least Common Multiple (LCM) of 25098 and 25103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25098 and 25103. First we will calculate the prime factors of 25098 and 25103.

Prime Factorization of 25098

Prime Factorization of 25103

Now multiplying the highest exponent prime factors to calculate the LCM of 25098 and 25103.

LCM(25098,25103) = 2¹ × 3¹ × 47¹ × 89¹ × 13¹ × 1931¹
LCM(25098,25103) = 630035094