What is the Least Common Multiple of 75324 and 75333?

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 75324 and 75333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75324 and 75333, than apply into the LCM equation.

GCF(75324,75333) = 3
LCM(75324,75333) = ( 75324 × 75333) / 3
LCM(75324,75333) = 5674382892 / 3
LCM(75324,75333) = 1891460964

Least Common Multiple (LCM) of 75324 and 75333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75324 and 75333. First we will calculate the prime factors of 75324 and 75333.

Prime Factorization of 75324

Prime Factorization of 75333

Now multiplying the highest exponent prime factors to calculate the LCM of 75324 and 75333.

LCM(75324,75333) = 2² × 3¹ × 6277¹ × 25111¹
LCM(75324,75333) = 1891460964