GCF and LCM Calculator Logo

What is the Least Common Multiple of 77093 and 77104?

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 77093 and 77104 is 5944178672.

LCM(77093,77104) = 5944178672

LCM Calculator and
and

Least Common Multiple of 77093 and 77104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77093 and 77104, than apply into the LCM equation.

GCF(77093,77104) = 1
LCM(77093,77104) = ( 77093 × 77104) / 1
LCM(77093,77104) = 5944178672 / 1
LCM(77093,77104) = 5944178672

Least Common Multiple (LCM) of 77093 and 77104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77093 and 77104. First we will calculate the prime factors of 77093 and 77104.

Prime Factorization of 77093

Prime factors of 77093 are 77093. Prime factorization of 77093 in exponential form is:

77093 = 770931

Prime Factorization of 77104

Prime factors of 77104 are 2, 61, 79. Prime factorization of 77104 in exponential form is:

77104 = 24 × 611 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 77093 and 77104.

LCM(77093,77104) = 770931 × 24 × 611 × 791
LCM(77093,77104) = 5944178672