What is the Least Common Multiple of 85715 and 85730?

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 85715 and 85730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85715 and 85730, than apply into the LCM equation.

GCF(85715,85730) = 5
LCM(85715,85730) = ( 85715 × 85730) / 5
LCM(85715,85730) = 7348346950 / 5
LCM(85715,85730) = 1469669390

Least Common Multiple (LCM) of 85715 and 85730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85715 and 85730. First we will calculate the prime factors of 85715 and 85730.

Prime Factorization of 85715

Prime Factorization of 85730

Now multiplying the highest exponent prime factors to calculate the LCM of 85715 and 85730.

LCM(85715,85730) = 5¹ × 7¹ × 31¹ × 79¹ × 2¹ × 8573¹
LCM(85715,85730) = 1469669390