What is the Least Common Multiple of 10335 and 10342?

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 10335 and 10342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10335 and 10342, than apply into the LCM equation.

GCF(10335,10342) = 1
LCM(10335,10342) = ( 10335 × 10342) / 1
LCM(10335,10342) = 106884570 / 1
LCM(10335,10342) = 106884570

Least Common Multiple (LCM) of 10335 and 10342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10335 and 10342. First we will calculate the prime factors of 10335 and 10342.

Prime Factorization of 10335

Prime Factorization of 10342

Now multiplying the highest exponent prime factors to calculate the LCM of 10335 and 10342.

LCM(10335,10342) = 3¹ × 5¹ × 13¹ × 53¹ × 2¹ × 5171¹
LCM(10335,10342) = 106884570