What is the Least Common Multiple of 59405 and 59420?

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 59405 and 59420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59405 and 59420, than apply into the LCM equation.

GCF(59405,59420) = 5
LCM(59405,59420) = ( 59405 × 59420) / 5
LCM(59405,59420) = 3529845100 / 5
LCM(59405,59420) = 705969020

Least Common Multiple (LCM) of 59405 and 59420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59405 and 59420. First we will calculate the prime factors of 59405 and 59420.

Prime Factorization of 59405

Prime Factorization of 59420

Now multiplying the highest exponent prime factors to calculate the LCM of 59405 and 59420.

LCM(59405,59420) = 5¹ × 109² × 2² × 2971¹
LCM(59405,59420) = 705969020