What is the Least Common Multiple of 65080 and 65090?

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 65080 and 65090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65080 and 65090, than apply into the LCM equation.

GCF(65080,65090) = 10
LCM(65080,65090) = ( 65080 × 65090) / 10
LCM(65080,65090) = 4236057200 / 10
LCM(65080,65090) = 423605720

Least Common Multiple (LCM) of 65080 and 65090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65080 and 65090. First we will calculate the prime factors of 65080 and 65090.

Prime Factorization of 65080

Prime Factorization of 65090

Now multiplying the highest exponent prime factors to calculate the LCM of 65080 and 65090.

LCM(65080,65090) = 2³ × 5¹ × 1627¹ × 23¹ × 283¹
LCM(65080,65090) = 423605720