What is the Least Common Multiple of 77526 and 77530?

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 77526 and 77530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77526 and 77530, than apply into the LCM equation.

GCF(77526,77530) = 2
LCM(77526,77530) = ( 77526 × 77530) / 2
LCM(77526,77530) = 6010590780 / 2
LCM(77526,77530) = 3005295390

Least Common Multiple (LCM) of 77526 and 77530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77526 and 77530. First we will calculate the prime factors of 77526 and 77530.

Prime Factorization of 77526

Prime Factorization of 77530

Now multiplying the highest exponent prime factors to calculate the LCM of 77526 and 77530.

LCM(77526,77530) = 2¹ × 3² × 59¹ × 73¹ × 5¹ × 7753¹
LCM(77526,77530) = 3005295390