What is the Least Common Multiple of 67530 and 67539?

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 67530 and 67539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67530 and 67539, than apply into the LCM equation.

GCF(67530,67539) = 3
LCM(67530,67539) = ( 67530 × 67539) / 3
LCM(67530,67539) = 4560908670 / 3
LCM(67530,67539) = 1520302890

Least Common Multiple (LCM) of 67530 and 67539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67530 and 67539. First we will calculate the prime factors of 67530 and 67539.

Prime Factorization of 67530

Prime Factorization of 67539

Now multiplying the highest exponent prime factors to calculate the LCM of 67530 and 67539.

LCM(67530,67539) = 2¹ × 3¹ × 5¹ × 2251¹ × 47¹ × 479¹
LCM(67530,67539) = 1520302890