What is the Least Common Multiple of 85890 and 85897?

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 85890 and 85897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85890 and 85897, than apply into the LCM equation.

GCF(85890,85897) = 7
LCM(85890,85897) = ( 85890 × 85897) / 7
LCM(85890,85897) = 7377693330 / 7
LCM(85890,85897) = 1053956190

Least Common Multiple (LCM) of 85890 and 85897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85890 and 85897. First we will calculate the prime factors of 85890 and 85897.

Prime Factorization of 85890

Prime Factorization of 85897

Now multiplying the highest exponent prime factors to calculate the LCM of 85890 and 85897.

LCM(85890,85897) = 2¹ × 3¹ × 5¹ × 7² × 409¹ × 1753¹
LCM(85890,85897) = 1053956190