What is the Least Common Multiple of 80045 and 80054?

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 80045 and 80054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80045 and 80054, than apply into the LCM equation.

GCF(80045,80054) = 1
LCM(80045,80054) = ( 80045 × 80054) / 1
LCM(80045,80054) = 6407922430 / 1
LCM(80045,80054) = 6407922430

Least Common Multiple (LCM) of 80045 and 80054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80045 and 80054. First we will calculate the prime factors of 80045 and 80054.

Prime Factorization of 80045

Prime Factorization of 80054

Now multiplying the highest exponent prime factors to calculate the LCM of 80045 and 80054.

LCM(80045,80054) = 5¹ × 7¹ × 2287¹ × 2¹ × 13¹ × 3079¹
LCM(80045,80054) = 6407922430