What is the Least Common Multiple of 80550 and 80565?

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 80550 and 80565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80550 and 80565, than apply into the LCM equation.

GCF(80550,80565) = 15
LCM(80550,80565) = ( 80550 × 80565) / 15
LCM(80550,80565) = 6489510750 / 15
LCM(80550,80565) = 432634050

Least Common Multiple (LCM) of 80550 and 80565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80550 and 80565. First we will calculate the prime factors of 80550 and 80565.

Prime Factorization of 80550

Prime Factorization of 80565

Now multiplying the highest exponent prime factors to calculate the LCM of 80550 and 80565.

LCM(80550,80565) = 2¹ × 3² × 5² × 179¹ × 41¹ × 131¹
LCM(80550,80565) = 432634050