GCF and LCM Calculator Logo

What is the Least Common Multiple of 77027 and 77038?

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 77027 and 77038 is 5934006026.

LCM(77027,77038) = 5934006026

LCM Calculator and
and

Least Common Multiple of 77027 and 77038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77027 and 77038, than apply into the LCM equation.

GCF(77027,77038) = 1
LCM(77027,77038) = ( 77027 × 77038) / 1
LCM(77027,77038) = 5934006026 / 1
LCM(77027,77038) = 5934006026

Least Common Multiple (LCM) of 77027 and 77038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77027 and 77038. First we will calculate the prime factors of 77027 and 77038.

Prime Factorization of 77027

Prime factors of 77027 are 17, 23, 197. Prime factorization of 77027 in exponential form is:

77027 = 171 × 231 × 1971

Prime Factorization of 77038

Prime factors of 77038 are 2, 13, 2963. Prime factorization of 77038 in exponential form is:

77038 = 21 × 131 × 29631

Now multiplying the highest exponent prime factors to calculate the LCM of 77027 and 77038.

LCM(77027,77038) = 171 × 231 × 1971 × 21 × 131 × 29631
LCM(77027,77038) = 5934006026