What is the Least Common Multiple of 85460 and 85475?

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 85460 and 85475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85460 and 85475, than apply into the LCM equation.

GCF(85460,85475) = 5
LCM(85460,85475) = ( 85460 × 85475) / 5
LCM(85460,85475) = 7304693500 / 5
LCM(85460,85475) = 1460938700

Least Common Multiple (LCM) of 85460 and 85475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85460 and 85475. First we will calculate the prime factors of 85460 and 85475.

Prime Factorization of 85460

Prime Factorization of 85475

Now multiplying the highest exponent prime factors to calculate the LCM of 85460 and 85475.

LCM(85460,85475) = 2² × 5² × 4273¹ × 13¹ × 263¹
LCM(85460,85475) = 1460938700