GCF and LCM Calculator Logo

What is the Least Common Multiple of 79020 and 79026?

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 79020 and 79026 is 1040772420.

LCM(79020,79026) = 1040772420

LCM Calculator and
and

Least Common Multiple of 79020 and 79026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79020 and 79026, than apply into the LCM equation.

GCF(79020,79026) = 6
LCM(79020,79026) = ( 79020 × 79026) / 6
LCM(79020,79026) = 6244634520 / 6
LCM(79020,79026) = 1040772420

Least Common Multiple (LCM) of 79020 and 79026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79020 and 79026. First we will calculate the prime factors of 79020 and 79026.

Prime Factorization of 79020

Prime factors of 79020 are 2, 3, 5, 439. Prime factorization of 79020 in exponential form is:

79020 = 22 × 32 × 51 × 4391

Prime Factorization of 79026

Prime factors of 79026 are 2, 3, 13171. Prime factorization of 79026 in exponential form is:

79026 = 21 × 31 × 131711

Now multiplying the highest exponent prime factors to calculate the LCM of 79020 and 79026.

LCM(79020,79026) = 22 × 32 × 51 × 4391 × 131711
LCM(79020,79026) = 1040772420