What is the Least Common Multiple of 73533 and 73540?

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 73533 and 73540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73533 and 73540, than apply into the LCM equation.

GCF(73533,73540) = 1
LCM(73533,73540) = ( 73533 × 73540) / 1
LCM(73533,73540) = 5407616820 / 1
LCM(73533,73540) = 5407616820

Least Common Multiple (LCM) of 73533 and 73540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73533 and 73540. First we will calculate the prime factors of 73533 and 73540.

Prime Factorization of 73533

Prime Factorization of 73540

Now multiplying the highest exponent prime factors to calculate the LCM of 73533 and 73540.

LCM(73533,73540) = 3¹ × 127¹ × 193¹ × 2² × 5¹ × 3677¹
LCM(73533,73540) = 5407616820