What is the Least Common Multiple of 85575 and 85585?

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 85575 and 85585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85575 and 85585, than apply into the LCM equation.

GCF(85575,85585) = 5
LCM(85575,85585) = ( 85575 × 85585) / 5
LCM(85575,85585) = 7323936375 / 5
LCM(85575,85585) = 1464787275

Least Common Multiple (LCM) of 85575 and 85585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85575 and 85585. First we will calculate the prime factors of 85575 and 85585.

Prime Factorization of 85575

Prime Factorization of 85585

Now multiplying the highest exponent prime factors to calculate the LCM of 85575 and 85585.

LCM(85575,85585) = 3¹ × 5² × 7¹ × 163¹ × 17117¹
LCM(85575,85585) = 1464787275