What is the Least Common Multiple of 59114 and 59128?

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 59114 and 59128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59114 and 59128, than apply into the LCM equation.

GCF(59114,59128) = 2
LCM(59114,59128) = ( 59114 × 59128) / 2
LCM(59114,59128) = 3495292592 / 2
LCM(59114,59128) = 1747646296

Least Common Multiple (LCM) of 59114 and 59128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59114 and 59128. First we will calculate the prime factors of 59114 and 59128.

Prime Factorization of 59114

Prime Factorization of 59128

Now multiplying the highest exponent prime factors to calculate the LCM of 59114 and 59128.

LCM(59114,59128) = 2³ × 11¹ × 2687¹ × 19¹ × 389¹
LCM(59114,59128) = 1747646296