What is the Least Common Multiple of 53590 and 53608?

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 53590 and 53608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53590 and 53608, than apply into the LCM equation.

GCF(53590,53608) = 2
LCM(53590,53608) = ( 53590 × 53608) / 2
LCM(53590,53608) = 2872852720 / 2
LCM(53590,53608) = 1436426360

Least Common Multiple (LCM) of 53590 and 53608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53590 and 53608. First we will calculate the prime factors of 53590 and 53608.

Prime Factorization of 53590

Prime Factorization of 53608

Now multiplying the highest exponent prime factors to calculate the LCM of 53590 and 53608.

LCM(53590,53608) = 2³ × 5¹ × 23¹ × 233¹ × 6701¹
LCM(53590,53608) = 1436426360