What is the Least Common Multiple of 90414 and 90426?

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 90426 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 90426, than apply into the LCM equation.

GCF(90414,90426) = 6
LCM(90414,90426) = ( 90414 × 90426) / 6
LCM(90414,90426) = 8175776364 / 6
LCM(90414,90426) = 1362629394

Least Common Multiple (LCM) of 90414 and 90426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90414 and 90426. First we will calculate the prime factors of 90414 and 90426.

Prime Factorization of 90414

Prime Factorization of 90426

Now multiplying the highest exponent prime factors to calculate the LCM of 90414 and 90426.

LCM(90414,90426) = 2¹ × 3² × 5023¹ × 7¹ × 2153¹
LCM(90414,90426) = 1362629394