What is the Least Common Multiple of 85350 and 85370?

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 85350 and 85370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85350 and 85370, than apply into the LCM equation.

GCF(85350,85370) = 10
LCM(85350,85370) = ( 85350 × 85370) / 10
LCM(85350,85370) = 7286329500 / 10
LCM(85350,85370) = 728632950

Least Common Multiple (LCM) of 85350 and 85370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85350 and 85370. First we will calculate the prime factors of 85350 and 85370.

Prime Factorization of 85350

Prime Factorization of 85370

Now multiplying the highest exponent prime factors to calculate the LCM of 85350 and 85370.

LCM(85350,85370) = 2¹ × 3¹ × 5² × 569¹ × 8537¹
LCM(85350,85370) = 728632950