What is the Least Common Multiple of 85895 and 85915?

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 85895 and 85915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85895 and 85915, than apply into the LCM equation.

GCF(85895,85915) = 5
LCM(85895,85915) = ( 85895 × 85915) / 5
LCM(85895,85915) = 7379668925 / 5
LCM(85895,85915) = 1475933785

Least Common Multiple (LCM) of 85895 and 85915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85895 and 85915. First we will calculate the prime factors of 85895 and 85915.

Prime Factorization of 85895

Prime Factorization of 85915

Now multiplying the highest exponent prime factors to calculate the LCM of 85895 and 85915.

LCM(85895,85915) = 5¹ × 41¹ × 419¹ × 17183¹
LCM(85895,85915) = 1475933785