What is the Least Common Multiple of 15045 and 15055?

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 15045 and 15055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15045 and 15055, than apply into the LCM equation.

GCF(15045,15055) = 5
LCM(15045,15055) = ( 15045 × 15055) / 5
LCM(15045,15055) = 226502475 / 5
LCM(15045,15055) = 45300495

Least Common Multiple (LCM) of 15045 and 15055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15045 and 15055. First we will calculate the prime factors of 15045 and 15055.

Prime Factorization of 15045

Prime Factorization of 15055

Now multiplying the highest exponent prime factors to calculate the LCM of 15045 and 15055.

LCM(15045,15055) = 3¹ × 5¹ × 17¹ × 59¹ × 3011¹
LCM(15045,15055) = 45300495