What is the Least Common Multiple of 80045 and 80050?

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 80050 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 80050, than apply into the LCM equation.

GCF(80045,80050) = 5
LCM(80045,80050) = ( 80045 × 80050) / 5
LCM(80045,80050) = 6407602250 / 5
LCM(80045,80050) = 1281520450

Least Common Multiple (LCM) of 80045 and 80050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80045 and 80050. First we will calculate the prime factors of 80045 and 80050.

Prime Factorization of 80045

Prime Factorization of 80050

Now multiplying the highest exponent prime factors to calculate the LCM of 80045 and 80050.

LCM(80045,80050) = 5² × 7¹ × 2287¹ × 2¹ × 1601¹
LCM(80045,80050) = 1281520450