What is the Least Common Multiple of 1029 and 1036?

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 1029 and 1036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1029 and 1036, than apply into the LCM equation.

GCF(1029,1036) = 7
LCM(1029,1036) = ( 1029 × 1036) / 7
LCM(1029,1036) = 1066044 / 7
LCM(1029,1036) = 152292

Least Common Multiple (LCM) of 1029 and 1036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1029 and 1036. First we will calculate the prime factors of 1029 and 1036.

Prime Factorization of 1029

Prime Factorization of 1036

Now multiplying the highest exponent prime factors to calculate the LCM of 1029 and 1036.

LCM(1029,1036) = 3¹ × 7³ × 2² × 37¹
LCM(1029,1036) = 152292