What is the Least Common Multiple of 85365 and 85379?

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 85365 and 85379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85365 and 85379, than apply into the LCM equation.

GCF(85365,85379) = 7
LCM(85365,85379) = ( 85365 × 85379) / 7
LCM(85365,85379) = 7288378335 / 7
LCM(85365,85379) = 1041196905

Least Common Multiple (LCM) of 85365 and 85379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85365 and 85379. First we will calculate the prime factors of 85365 and 85379.

Prime Factorization of 85365

Prime Factorization of 85379

Now multiplying the highest exponent prime factors to calculate the LCM of 85365 and 85379.

LCM(85365,85379) = 3² × 5¹ × 7¹ × 271¹ × 12197¹
LCM(85365,85379) = 1041196905