What is the Least Common Multiple of 71933 and 71940?

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 71933 and 71940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71933 and 71940, than apply into the LCM equation.

GCF(71933,71940) = 1
LCM(71933,71940) = ( 71933 × 71940) / 1
LCM(71933,71940) = 5174860020 / 1
LCM(71933,71940) = 5174860020

Least Common Multiple (LCM) of 71933 and 71940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71933 and 71940. First we will calculate the prime factors of 71933 and 71940.

Prime Factorization of 71933

Prime Factorization of 71940

Now multiplying the highest exponent prime factors to calculate the LCM of 71933 and 71940.

LCM(71933,71940) = 71933¹ × 2² × 3¹ × 5¹ × 11¹ × 109¹
LCM(71933,71940) = 5174860020