What is the Least Common Multiple of 85725 and 85735?

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 85725 and 85735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85725 and 85735, than apply into the LCM equation.

GCF(85725,85735) = 5
LCM(85725,85735) = ( 85725 × 85735) / 5
LCM(85725,85735) = 7349632875 / 5
LCM(85725,85735) = 1469926575

Least Common Multiple (LCM) of 85725 and 85735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85725 and 85735. First we will calculate the prime factors of 85725 and 85735.

Prime Factorization of 85725

Prime Factorization of 85735

Now multiplying the highest exponent prime factors to calculate the LCM of 85725 and 85735.

LCM(85725,85735) = 3³ × 5² × 127¹ × 13¹ × 1319¹
LCM(85725,85735) = 1469926575