What is the Least Common Multiple of 65730 and 65737?

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 65737 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 65737, than apply into the LCM equation.

GCF(65730,65737) = 7
LCM(65730,65737) = ( 65730 × 65737) / 7
LCM(65730,65737) = 4320893010 / 7
LCM(65730,65737) = 617270430

Least Common Multiple (LCM) of 65730 and 65737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65730 and 65737. First we will calculate the prime factors of 65730 and 65737.

Prime Factorization of 65730

Prime Factorization of 65737

Now multiplying the highest exponent prime factors to calculate the LCM of 65730 and 65737.

LCM(65730,65737) = 2¹ × 3¹ × 5¹ × 7¹ × 313¹ × 9391¹
LCM(65730,65737) = 617270430