What is the Least Common Multiple of 68730 and 68737?

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 68730 and 68737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68730 and 68737, than apply into the LCM equation.

GCF(68730,68737) = 1
LCM(68730,68737) = ( 68730 × 68737) / 1
LCM(68730,68737) = 4724294010 / 1
LCM(68730,68737) = 4724294010

Least Common Multiple (LCM) of 68730 and 68737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68730 and 68737. First we will calculate the prime factors of 68730 and 68737.

Prime Factorization of 68730

Prime Factorization of 68737

Now multiplying the highest exponent prime factors to calculate the LCM of 68730 and 68737.

LCM(68730,68737) = 2¹ × 3¹ × 5¹ × 29¹ × 79¹ × 68737¹
LCM(68730,68737) = 4724294010