What is the Least Common Multiple of 85730 and 85741?

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 85730 and 85741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85730 and 85741, than apply into the LCM equation.

GCF(85730,85741) = 1
LCM(85730,85741) = ( 85730 × 85741) / 1
LCM(85730,85741) = 7350575930 / 1
LCM(85730,85741) = 7350575930

Least Common Multiple (LCM) of 85730 and 85741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85730 and 85741. First we will calculate the prime factors of 85730 and 85741.

Prime Factorization of 85730

Prime Factorization of 85741

Now multiplying the highest exponent prime factors to calculate the LCM of 85730 and 85741.

LCM(85730,85741) = 2¹ × 5¹ × 8573¹ × 179¹ × 479¹
LCM(85730,85741) = 7350575930