What is the Least Common Multiple of 45048 and 45058?

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 45048 and 45058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45048 and 45058, than apply into the LCM equation.

GCF(45048,45058) = 2
LCM(45048,45058) = ( 45048 × 45058) / 2
LCM(45048,45058) = 2029772784 / 2
LCM(45048,45058) = 1014886392

Least Common Multiple (LCM) of 45048 and 45058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45048 and 45058. First we will calculate the prime factors of 45048 and 45058.

Prime Factorization of 45048

Prime Factorization of 45058

Now multiplying the highest exponent prime factors to calculate the LCM of 45048 and 45058.

LCM(45048,45058) = 2³ × 3¹ × 1877¹ × 13¹ × 1733¹
LCM(45048,45058) = 1014886392