What is the Least Common Multiple of 59848 and 59862?

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 59848 and 59862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59848 and 59862, than apply into the LCM equation.

GCF(59848,59862) = 2
LCM(59848,59862) = ( 59848 × 59862) / 2
LCM(59848,59862) = 3582620976 / 2
LCM(59848,59862) = 1791310488

Least Common Multiple (LCM) of 59848 and 59862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59848 and 59862. First we will calculate the prime factors of 59848 and 59862.

Prime Factorization of 59848

Prime Factorization of 59862

Now multiplying the highest exponent prime factors to calculate the LCM of 59848 and 59862.

LCM(59848,59862) = 2³ × 7481¹ × 3¹ × 11¹ × 907¹
LCM(59848,59862) = 1791310488