What is the Least Common Multiple of 2045 and 2055?

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 2045 and 2055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2045 and 2055, than apply into the LCM equation.

GCF(2045,2055) = 5
LCM(2045,2055) = ( 2045 × 2055) / 5
LCM(2045,2055) = 4202475 / 5
LCM(2045,2055) = 840495

Least Common Multiple (LCM) of 2045 and 2055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2045 and 2055. First we will calculate the prime factors of 2045 and 2055.

Prime Factorization of 2045

Prime Factorization of 2055

Now multiplying the highest exponent prime factors to calculate the LCM of 2045 and 2055.

LCM(2045,2055) = 5¹ × 409¹ × 3¹ × 137¹
LCM(2045,2055) = 840495