What is the Least Common Multiple of 58609 and 58628?

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 58609 and 58628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58609 and 58628, than apply into the LCM equation.

GCF(58609,58628) = 1
LCM(58609,58628) = ( 58609 × 58628) / 1
LCM(58609,58628) = 3436128452 / 1
LCM(58609,58628) = 3436128452

Least Common Multiple (LCM) of 58609 and 58628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58609 and 58628. First we will calculate the prime factors of 58609 and 58628.

Prime Factorization of 58609

Prime Factorization of 58628

Now multiplying the highest exponent prime factors to calculate the LCM of 58609 and 58628.

LCM(58609,58628) = 29¹ × 43¹ × 47¹ × 2² × 14657¹
LCM(58609,58628) = 3436128452