What is the Least Common Multiple of 60578 and 60592?

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 60578 and 60592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60578 and 60592, than apply into the LCM equation.

GCF(60578,60592) = 14
LCM(60578,60592) = ( 60578 × 60592) / 14
LCM(60578,60592) = 3670542176 / 14
LCM(60578,60592) = 262181584

Least Common Multiple (LCM) of 60578 and 60592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60578 and 60592. First we will calculate the prime factors of 60578 and 60592.

Prime Factorization of 60578

Prime Factorization of 60592

Now multiplying the highest exponent prime factors to calculate the LCM of 60578 and 60592.

LCM(60578,60592) = 2⁴ × 7¹ × 4327¹ × 541¹
LCM(60578,60592) = 262181584