What is the Least Common Multiple of 90414 and 90421?

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 90414 and 90421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90414 and 90421, than apply into the LCM equation.

GCF(90414,90421) = 1
LCM(90414,90421) = ( 90414 × 90421) / 1
LCM(90414,90421) = 8175324294 / 1
LCM(90414,90421) = 8175324294

Least Common Multiple (LCM) of 90414 and 90421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90414 and 90421. First we will calculate the prime factors of 90414 and 90421.

Prime Factorization of 90414

Prime Factorization of 90421

Now multiplying the highest exponent prime factors to calculate the LCM of 90414 and 90421.

LCM(90414,90421) = 2¹ × 3² × 5023¹ × 19¹ × 4759¹
LCM(90414,90421) = 8175324294