What is the Least Common Multiple of 60558 and 60577?

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 60558 and 60577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60558 and 60577, than apply into the LCM equation.

GCF(60558,60577) = 1
LCM(60558,60577) = ( 60558 × 60577) / 1
LCM(60558,60577) = 3668421966 / 1
LCM(60558,60577) = 3668421966

Least Common Multiple (LCM) of 60558 and 60577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60558 and 60577. First we will calculate the prime factors of 60558 and 60577.

Prime Factorization of 60558

Prime Factorization of 60577

Now multiplying the highest exponent prime factors to calculate the LCM of 60558 and 60577.

LCM(60558,60577) = 2¹ × 3¹ × 10093¹ × 11¹ × 5507¹
LCM(60558,60577) = 3668421966