What is the Least Common Multiple of 10635 and 10642?

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 10635 and 10642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10635 and 10642, than apply into the LCM equation.

GCF(10635,10642) = 1
LCM(10635,10642) = ( 10635 × 10642) / 1
LCM(10635,10642) = 113177670 / 1
LCM(10635,10642) = 113177670

Least Common Multiple (LCM) of 10635 and 10642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10635 and 10642. First we will calculate the prime factors of 10635 and 10642.

Prime Factorization of 10635

Prime Factorization of 10642

Now multiplying the highest exponent prime factors to calculate the LCM of 10635 and 10642.

LCM(10635,10642) = 3¹ × 5¹ × 709¹ × 2¹ × 17¹ × 313¹
LCM(10635,10642) = 113177670