What is the Least Common Multiple of 52405 and 52420?

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 52405 and 52420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52405 and 52420, than apply into the LCM equation.

GCF(52405,52420) = 5
LCM(52405,52420) = ( 52405 × 52420) / 5
LCM(52405,52420) = 2747070100 / 5
LCM(52405,52420) = 549414020

Least Common Multiple (LCM) of 52405 and 52420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52405 and 52420. First we will calculate the prime factors of 52405 and 52420.

Prime Factorization of 52405

Prime Factorization of 52420

Now multiplying the highest exponent prime factors to calculate the LCM of 52405 and 52420.

LCM(52405,52420) = 5¹ × 47¹ × 223¹ × 2² × 2621¹
LCM(52405,52420) = 549414020