What is the Least Common Multiple of 67524 and 67533?

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 67524 and 67533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67524 and 67533, than apply into the LCM equation.

GCF(67524,67533) = 3
LCM(67524,67533) = ( 67524 × 67533) / 3
LCM(67524,67533) = 4560098292 / 3
LCM(67524,67533) = 1520032764

Least Common Multiple (LCM) of 67524 and 67533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67524 and 67533. First we will calculate the prime factors of 67524 and 67533.

Prime Factorization of 67524

Prime Factorization of 67533

Now multiplying the highest exponent prime factors to calculate the LCM of 67524 and 67533.

LCM(67524,67533) = 2² × 3¹ × 17¹ × 331¹ × 22511¹
LCM(67524,67533) = 1520032764