What is the Least Common Multiple of 7530 and 7539?

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 7530 and 7539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7530 and 7539, than apply into the LCM equation.

GCF(7530,7539) = 3
LCM(7530,7539) = ( 7530 × 7539) / 3
LCM(7530,7539) = 56768670 / 3
LCM(7530,7539) = 18922890

Least Common Multiple (LCM) of 7530 and 7539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7530 and 7539. First we will calculate the prime factors of 7530 and 7539.

Prime Factorization of 7530

Prime Factorization of 7539

Now multiplying the highest exponent prime factors to calculate the LCM of 7530 and 7539.

LCM(7530,7539) = 2¹ × 3¹ × 5¹ × 251¹ × 7¹ × 359¹
LCM(7530,7539) = 18922890