What is the Least Common Multiple of 4085 and 4092?

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 4085 and 4092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4085 and 4092, than apply into the LCM equation.

GCF(4085,4092) = 1
LCM(4085,4092) = ( 4085 × 4092) / 1
LCM(4085,4092) = 16715820 / 1
LCM(4085,4092) = 16715820

Least Common Multiple (LCM) of 4085 and 4092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4085 and 4092. First we will calculate the prime factors of 4085 and 4092.

Prime Factorization of 4085

Prime Factorization of 4092

Now multiplying the highest exponent prime factors to calculate the LCM of 4085 and 4092.

LCM(4085,4092) = 5¹ × 19¹ × 43¹ × 2² × 3¹ × 11¹ × 31¹
LCM(4085,4092) = 16715820