What is the Least Common Multiple of 81730 and 81737?

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 81730 and 81737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81730 and 81737, than apply into the LCM equation.

GCF(81730,81737) = 1
LCM(81730,81737) = ( 81730 × 81737) / 1
LCM(81730,81737) = 6680365010 / 1
LCM(81730,81737) = 6680365010

Least Common Multiple (LCM) of 81730 and 81737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81730 and 81737. First we will calculate the prime factors of 81730 and 81737.

Prime Factorization of 81730

Prime Factorization of 81737

Now multiplying the highest exponent prime factors to calculate the LCM of 81730 and 81737.

LCM(81730,81737) = 2¹ × 5¹ × 11¹ × 743¹ × 81737¹
LCM(81730,81737) = 6680365010