What is the Least Common Multiple of 1034 and 1051?

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 1034 and 1051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1034 and 1051, than apply into the LCM equation.

GCF(1034,1051) = 1
LCM(1034,1051) = ( 1034 × 1051) / 1
LCM(1034,1051) = 1086734 / 1
LCM(1034,1051) = 1086734

Least Common Multiple (LCM) of 1034 and 1051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1034 and 1051. First we will calculate the prime factors of 1034 and 1051.

Prime Factorization of 1034

Prime Factorization of 1051

Now multiplying the highest exponent prime factors to calculate the LCM of 1034 and 1051.

LCM(1034,1051) = 2¹ × 11¹ × 47¹ × 1051¹
LCM(1034,1051) = 1086734