What is the Least Common Multiple of 22935 and 22940?

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 22935 and 22940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22935 and 22940, than apply into the LCM equation.

GCF(22935,22940) = 5
LCM(22935,22940) = ( 22935 × 22940) / 5
LCM(22935,22940) = 526128900 / 5
LCM(22935,22940) = 105225780

Least Common Multiple (LCM) of 22935 and 22940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22935 and 22940. First we will calculate the prime factors of 22935 and 22940.

Prime Factorization of 22935

Prime Factorization of 22940

Now multiplying the highest exponent prime factors to calculate the LCM of 22935 and 22940.

LCM(22935,22940) = 3¹ × 5¹ × 11¹ × 139¹ × 2² × 31¹ × 37¹
LCM(22935,22940) = 105225780