GCF and LCM Calculator Logo

What is the Least Common Multiple of 84040 and 84052?

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 84040 and 84052 is 1765932520.

LCM(84040,84052) = 1765932520

LCM Calculator and
and

Least Common Multiple of 84040 and 84052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84040 and 84052, than apply into the LCM equation.

GCF(84040,84052) = 4
LCM(84040,84052) = ( 84040 × 84052) / 4
LCM(84040,84052) = 7063730080 / 4
LCM(84040,84052) = 1765932520

Least Common Multiple (LCM) of 84040 and 84052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84040 and 84052. First we will calculate the prime factors of 84040 and 84052.

Prime Factorization of 84040

Prime factors of 84040 are 2, 5, 11, 191. Prime factorization of 84040 in exponential form is:

84040 = 23 × 51 × 111 × 1911

Prime Factorization of 84052

Prime factors of 84052 are 2, 21013. Prime factorization of 84052 in exponential form is:

84052 = 22 × 210131

Now multiplying the highest exponent prime factors to calculate the LCM of 84040 and 84052.

LCM(84040,84052) = 23 × 51 × 111 × 1911 × 210131
LCM(84040,84052) = 1765932520