What is the Least Common Multiple of 30440 and 30451?

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 30440 and 30451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30440 and 30451, than apply into the LCM equation.

GCF(30440,30451) = 1
LCM(30440,30451) = ( 30440 × 30451) / 1
LCM(30440,30451) = 926928440 / 1
LCM(30440,30451) = 926928440

Least Common Multiple (LCM) of 30440 and 30451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30440 and 30451. First we will calculate the prime factors of 30440 and 30451.

Prime Factorization of 30440

Prime Factorization of 30451

Now multiplying the highest exponent prime factors to calculate the LCM of 30440 and 30451.

LCM(30440,30451) = 2³ × 5¹ × 761¹ × 37¹ × 823¹
LCM(30440,30451) = 926928440