What is the Least Common Multiple of 30410 and 30428?

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 30410 and 30428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30410 and 30428, than apply into the LCM equation.

GCF(30410,30428) = 2
LCM(30410,30428) = ( 30410 × 30428) / 2
LCM(30410,30428) = 925315480 / 2
LCM(30410,30428) = 462657740

Least Common Multiple (LCM) of 30410 and 30428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30410 and 30428. First we will calculate the prime factors of 30410 and 30428.

Prime Factorization of 30410

Prime Factorization of 30428

Now multiplying the highest exponent prime factors to calculate the LCM of 30410 and 30428.

LCM(30410,30428) = 2² × 5¹ × 3041¹ × 7607¹
LCM(30410,30428) = 462657740