What is the Least Common Multiple of 2082 and 2092?

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 2082 and 2092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2082 and 2092, than apply into the LCM equation.

GCF(2082,2092) = 2
LCM(2082,2092) = ( 2082 × 2092) / 2
LCM(2082,2092) = 4355544 / 2
LCM(2082,2092) = 2177772

Least Common Multiple (LCM) of 2082 and 2092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2082 and 2092. First we will calculate the prime factors of 2082 and 2092.

Prime Factorization of 2082

Prime Factorization of 2092

Now multiplying the highest exponent prime factors to calculate the LCM of 2082 and 2092.

LCM(2082,2092) = 2² × 3¹ × 347¹ × 523¹
LCM(2082,2092) = 2177772