What is the Least Common Multiple of 22926 and 22935?

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 22926 and 22935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22926 and 22935, than apply into the LCM equation.

GCF(22926,22935) = 3
LCM(22926,22935) = ( 22926 × 22935) / 3
LCM(22926,22935) = 525807810 / 3
LCM(22926,22935) = 175269270

Least Common Multiple (LCM) of 22926 and 22935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22926 and 22935. First we will calculate the prime factors of 22926 and 22935.

Prime Factorization of 22926

Prime Factorization of 22935

Now multiplying the highest exponent prime factors to calculate the LCM of 22926 and 22935.

LCM(22926,22935) = 2¹ × 3¹ × 3821¹ × 5¹ × 11¹ × 139¹
LCM(22926,22935) = 175269270