GCF and LCM Calculator Logo

What is the Least Common Multiple of 79021 and 79033?

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 79021 and 79033 is 6245266693.

LCM(79021,79033) = 6245266693

LCM Calculator and
and

Least Common Multiple of 79021 and 79033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79021 and 79033, than apply into the LCM equation.

GCF(79021,79033) = 1
LCM(79021,79033) = ( 79021 × 79033) / 1
LCM(79021,79033) = 6245266693 / 1
LCM(79021,79033) = 6245266693

Least Common Multiple (LCM) of 79021 and 79033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79021 and 79033. First we will calculate the prime factors of 79021 and 79033.

Prime Factorization of 79021

Prime factors of 79021 are 19, 4159. Prime factorization of 79021 in exponential form is:

79021 = 191 × 41591

Prime Factorization of 79033

Prime factors of 79033 are 17, 4649. Prime factorization of 79033 in exponential form is:

79033 = 171 × 46491

Now multiplying the highest exponent prime factors to calculate the LCM of 79021 and 79033.

LCM(79021,79033) = 191 × 41591 × 171 × 46491
LCM(79021,79033) = 6245266693