What is the Least Common Multiple of 1038 and 1058?

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 1038 and 1058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1038 and 1058, than apply into the LCM equation.

GCF(1038,1058) = 2
LCM(1038,1058) = ( 1038 × 1058) / 2
LCM(1038,1058) = 1098204 / 2
LCM(1038,1058) = 549102

Least Common Multiple (LCM) of 1038 and 1058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1038 and 1058. First we will calculate the prime factors of 1038 and 1058.

Prime Factorization of 1038

Prime Factorization of 1058

Now multiplying the highest exponent prime factors to calculate the LCM of 1038 and 1058.

LCM(1038,1058) = 2¹ × 3¹ × 173¹ × 23²
LCM(1038,1058) = 549102