What is the Least Common Multiple of 80415 and 80426?

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 80415 and 80426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80415 and 80426, than apply into the LCM equation.

GCF(80415,80426) = 1
LCM(80415,80426) = ( 80415 × 80426) / 1
LCM(80415,80426) = 6467456790 / 1
LCM(80415,80426) = 6467456790

Least Common Multiple (LCM) of 80415 and 80426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80415 and 80426. First we will calculate the prime factors of 80415 and 80426.

Prime Factorization of 80415

Prime Factorization of 80426

Now multiplying the highest exponent prime factors to calculate the LCM of 80415 and 80426.

LCM(80415,80426) = 3² × 5¹ × 1787¹ × 2¹ × 40213¹
LCM(80415,80426) = 6467456790