What is the Least Common Multiple of 1020 and 1035?

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 1020 and 1035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1020 and 1035, than apply into the LCM equation.

GCF(1020,1035) = 15
LCM(1020,1035) = ( 1020 × 1035) / 15
LCM(1020,1035) = 1055700 / 15
LCM(1020,1035) = 70380

Least Common Multiple (LCM) of 1020 and 1035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1020 and 1035. First we will calculate the prime factors of 1020 and 1035.

Prime Factorization of 1020

Prime Factorization of 1035

Now multiplying the highest exponent prime factors to calculate the LCM of 1020 and 1035.

LCM(1020,1035) = 2² × 3² × 5¹ × 17¹ × 23¹
LCM(1020,1035) = 70380