GCF and LCM Calculator Logo

What is the Least Common Multiple of 77104 and 77122?

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 77104 and 77122 is 2973207344.

LCM(77104,77122) = 2973207344

LCM Calculator and
and

Least Common Multiple of 77104 and 77122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77104 and 77122, than apply into the LCM equation.

GCF(77104,77122) = 2
LCM(77104,77122) = ( 77104 × 77122) / 2
LCM(77104,77122) = 5946414688 / 2
LCM(77104,77122) = 2973207344

Least Common Multiple (LCM) of 77104 and 77122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77104 and 77122. First we will calculate the prime factors of 77104 and 77122.

Prime Factorization of 77104

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

77104 = 24 × 611 × 791

Prime Factorization of 77122

Prime factors of 77122 are 2, 38561. Prime factorization of 77122 in exponential form is:

77122 = 21 × 385611

Now multiplying the highest exponent prime factors to calculate the LCM of 77104 and 77122.

LCM(77104,77122) = 24 × 611 × 791 × 385611
LCM(77104,77122) = 2973207344