What is the Least Common Multiple of 65730 and 65745?

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 65730 and 65745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65730 and 65745, than apply into the LCM equation.

GCF(65730,65745) = 15
LCM(65730,65745) = ( 65730 × 65745) / 15
LCM(65730,65745) = 4321418850 / 15
LCM(65730,65745) = 288094590

Least Common Multiple (LCM) of 65730 and 65745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65730 and 65745. First we will calculate the prime factors of 65730 and 65745.

Prime Factorization of 65730

Prime Factorization of 65745

Now multiplying the highest exponent prime factors to calculate the LCM of 65730 and 65745.

LCM(65730,65745) = 2¹ × 3³ × 5¹ × 7¹ × 313¹ × 487¹
LCM(65730,65745) = 288094590