What is the Least Common Multiple of 42590 and 42610?

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 42590 and 42610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42590 and 42610, than apply into the LCM equation.

GCF(42590,42610) = 10
LCM(42590,42610) = ( 42590 × 42610) / 10
LCM(42590,42610) = 1814759900 / 10
LCM(42590,42610) = 181475990

Least Common Multiple (LCM) of 42590 and 42610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42590 and 42610. First we will calculate the prime factors of 42590 and 42610.

Prime Factorization of 42590

Prime Factorization of 42610

Now multiplying the highest exponent prime factors to calculate the LCM of 42590 and 42610.

LCM(42590,42610) = 2¹ × 5¹ × 4259¹ × 4261¹
LCM(42590,42610) = 181475990