GCF and LCM Calculator Logo

What is the Least Common Multiple of 77014 and 77020?

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 77014 and 77020 is 2965809140.

LCM(77014,77020) = 2965809140

LCM Calculator and
and

Least Common Multiple of 77014 and 77020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77014 and 77020, than apply into the LCM equation.

GCF(77014,77020) = 2
LCM(77014,77020) = ( 77014 × 77020) / 2
LCM(77014,77020) = 5931618280 / 2
LCM(77014,77020) = 2965809140

Least Common Multiple (LCM) of 77014 and 77020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77014 and 77020. First we will calculate the prime factors of 77014 and 77020.

Prime Factorization of 77014

Prime factors of 77014 are 2, 7, 5501. Prime factorization of 77014 in exponential form is:

77014 = 21 × 71 × 55011

Prime Factorization of 77020

Prime factors of 77020 are 2, 5, 3851. Prime factorization of 77020 in exponential form is:

77020 = 22 × 51 × 38511

Now multiplying the highest exponent prime factors to calculate the LCM of 77014 and 77020.

LCM(77014,77020) = 22 × 71 × 55011 × 51 × 38511
LCM(77014,77020) = 2965809140