GCF and LCM Calculator Logo

What is the Least Common Multiple of 1016 and 1025?

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 (LCM) of 1016 and 1025 is 1041400.

LCM(1016,1025) = 1041400

LCM Calculator and
and

Least Common Multiple of 1016 and 1025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1016 and 1025, than apply into the LCM equation.

GCF(1016,1025) = 1
LCM(1016,1025) = ( 1016 × 1025) / 1
LCM(1016,1025) = 1041400 / 1
LCM(1016,1025) = 1041400

Least Common Multiple (LCM) of 1016 and 1025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1016 and 1025. First we will calculate the prime factors of 1016 and 1025.

Prime Factorization of 1016

Prime factors of 1016 are 2, 127. Prime factorization of 1016 in exponential form is:

1016 = 23 × 1271

Prime Factorization of 1025

Prime factors of 1025 are 5, 41. Prime factorization of 1025 in exponential form is:

1025 = 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1016 and 1025.

LCM(1016,1025) = 23 × 1271 × 52 × 411
LCM(1016,1025) = 1041400