What is the Least Common Multiple of 59105 and 59125?

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 59105 and 59125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59105 and 59125, than apply into the LCM equation.

GCF(59105,59125) = 5
LCM(59105,59125) = ( 59105 × 59125) / 5
LCM(59105,59125) = 3494583125 / 5
LCM(59105,59125) = 698916625

Least Common Multiple (LCM) of 59105 and 59125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59105 and 59125. First we will calculate the prime factors of 59105 and 59125.

Prime Factorization of 59105

Prime Factorization of 59125

Now multiplying the highest exponent prime factors to calculate the LCM of 59105 and 59125.

LCM(59105,59125) = 5³ × 11821¹ × 11¹ × 43¹
LCM(59105,59125) = 698916625