What is the Least Common Multiple of 59048 and 59066?

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 59048 and 59066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59048 and 59066, than apply into the LCM equation.

GCF(59048,59066) = 2
LCM(59048,59066) = ( 59048 × 59066) / 2
LCM(59048,59066) = 3487729168 / 2
LCM(59048,59066) = 1743864584

Least Common Multiple (LCM) of 59048 and 59066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59048 and 59066. First we will calculate the prime factors of 59048 and 59066.

Prime Factorization of 59048

Prime Factorization of 59066

Now multiplying the highest exponent prime factors to calculate the LCM of 59048 and 59066.

LCM(59048,59066) = 2³ × 11² × 61¹ × 7¹ × 4219¹
LCM(59048,59066) = 1743864584