What is the Least Common Multiple of 65720 and 65730?

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 65720 and 65730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65720 and 65730, than apply into the LCM equation.

GCF(65720,65730) = 10
LCM(65720,65730) = ( 65720 × 65730) / 10
LCM(65720,65730) = 4319775600 / 10
LCM(65720,65730) = 431977560

Least Common Multiple (LCM) of 65720 and 65730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65720 and 65730. First we will calculate the prime factors of 65720 and 65730.

Prime Factorization of 65720

Prime Factorization of 65730

Now multiplying the highest exponent prime factors to calculate the LCM of 65720 and 65730.

LCM(65720,65730) = 2³ × 5¹ × 31¹ × 53¹ × 3¹ × 7¹ × 313¹
LCM(65720,65730) = 431977560