What is the Least Common Multiple of 80540 and 80560?

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 80540 and 80560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80540 and 80560, than apply into the LCM equation.

GCF(80540,80560) = 20
LCM(80540,80560) = ( 80540 × 80560) / 20
LCM(80540,80560) = 6488302400 / 20
LCM(80540,80560) = 324415120

Least Common Multiple (LCM) of 80540 and 80560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80540 and 80560. First we will calculate the prime factors of 80540 and 80560.

Prime Factorization of 80540

Prime Factorization of 80560

Now multiplying the highest exponent prime factors to calculate the LCM of 80540 and 80560.

LCM(80540,80560) = 2⁴ × 5¹ × 4027¹ × 19¹ × 53¹
LCM(80540,80560) = 324415120