What is the Least Common Multiple of 52596 and 52610?

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 52596 and 52610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52596 and 52610, than apply into the LCM equation.

GCF(52596,52610) = 2
LCM(52596,52610) = ( 52596 × 52610) / 2
LCM(52596,52610) = 2767075560 / 2
LCM(52596,52610) = 1383537780

Least Common Multiple (LCM) of 52596 and 52610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52596 and 52610. First we will calculate the prime factors of 52596 and 52610.

Prime Factorization of 52596

Prime Factorization of 52610

Now multiplying the highest exponent prime factors to calculate the LCM of 52596 and 52610.

LCM(52596,52610) = 2² × 3³ × 487¹ × 5¹ × 5261¹
LCM(52596,52610) = 1383537780