What is the Least Common Multiple of 30510 and 30524?

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 30510 and 30524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30510 and 30524, than apply into the LCM equation.

GCF(30510,30524) = 2
LCM(30510,30524) = ( 30510 × 30524) / 2
LCM(30510,30524) = 931287240 / 2
LCM(30510,30524) = 465643620

Least Common Multiple (LCM) of 30510 and 30524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30510 and 30524. First we will calculate the prime factors of 30510 and 30524.

Prime Factorization of 30510

Prime Factorization of 30524

Now multiplying the highest exponent prime factors to calculate the LCM of 30510 and 30524.

LCM(30510,30524) = 2² × 3³ × 5¹ × 113¹ × 13¹ × 587¹
LCM(30510,30524) = 465643620