What is the Least Common Multiple of 33735 and 33740?

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 33735 and 33740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33735 and 33740, than apply into the LCM equation.

GCF(33735,33740) = 5
LCM(33735,33740) = ( 33735 × 33740) / 5
LCM(33735,33740) = 1138218900 / 5
LCM(33735,33740) = 227643780

Least Common Multiple (LCM) of 33735 and 33740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33735 and 33740. First we will calculate the prime factors of 33735 and 33740.

Prime Factorization of 33735

Prime Factorization of 33740

Now multiplying the highest exponent prime factors to calculate the LCM of 33735 and 33740.

LCM(33735,33740) = 3¹ × 5¹ × 13¹ × 173¹ × 2² × 7¹ × 241¹
LCM(33735,33740) = 227643780