What is the Least Common Multiple of 53098 and 53114?

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 53098 and 53114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53098 and 53114, than apply into the LCM equation.

GCF(53098,53114) = 2
LCM(53098,53114) = ( 53098 × 53114) / 2
LCM(53098,53114) = 2820247172 / 2
LCM(53098,53114) = 1410123586

Least Common Multiple (LCM) of 53098 and 53114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53098 and 53114. First we will calculate the prime factors of 53098 and 53114.

Prime Factorization of 53098

Prime Factorization of 53114

Now multiplying the highest exponent prime factors to calculate the LCM of 53098 and 53114.

LCM(53098,53114) = 2¹ × 139¹ × 191¹ × 26557¹
LCM(53098,53114) = 1410123586