What is the Least Common Multiple of 59102 and 59114?

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 59102 and 59114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59102 and 59114, than apply into the LCM equation.

GCF(59102,59114) = 2
LCM(59102,59114) = ( 59102 × 59114) / 2
LCM(59102,59114) = 3493755628 / 2
LCM(59102,59114) = 1746877814

Least Common Multiple (LCM) of 59102 and 59114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59102 and 59114. First we will calculate the prime factors of 59102 and 59114.

Prime Factorization of 59102

Prime Factorization of 59114

Now multiplying the highest exponent prime factors to calculate the LCM of 59102 and 59114.

LCM(59102,59114) = 2¹ × 29¹ × 1019¹ × 11¹ × 2687¹
LCM(59102,59114) = 1746877814