What is the Least Common Multiple of 1072 and 1077?

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 1072 and 1077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1072 and 1077, than apply into the LCM equation.

GCF(1072,1077) = 1
LCM(1072,1077) = ( 1072 × 1077) / 1
LCM(1072,1077) = 1154544 / 1
LCM(1072,1077) = 1154544

Least Common Multiple (LCM) of 1072 and 1077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1077. First we will calculate the prime factors of 1072 and 1077.

Prime Factorization of 1072

Prime Factorization of 1077

Now multiplying the highest exponent prime factors to calculate the LCM of 1072 and 1077.

LCM(1072,1077) = 2⁴ × 67¹ × 3¹ × 359¹
LCM(1072,1077) = 1154544