GCF and LCM Calculator Logo

What is the Least Common Multiple of 7077 and 7097?

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 7077 and 7097 is 50225469.

LCM(7077,7097) = 50225469

LCM Calculator and
and

Least Common Multiple of 7077 and 7097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7077 and 7097, than apply into the LCM equation.

GCF(7077,7097) = 1
LCM(7077,7097) = ( 7077 × 7097) / 1
LCM(7077,7097) = 50225469 / 1
LCM(7077,7097) = 50225469

Least Common Multiple (LCM) of 7077 and 7097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7077 and 7097. First we will calculate the prime factors of 7077 and 7097.

Prime Factorization of 7077

Prime factors of 7077 are 3, 7, 337. Prime factorization of 7077 in exponential form is:

7077 = 31 × 71 × 3371

Prime Factorization of 7097

Prime factors of 7097 are 47, 151. Prime factorization of 7097 in exponential form is:

7097 = 471 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7077 and 7097.

LCM(7077,7097) = 31 × 71 × 3371 × 471 × 1511
LCM(7077,7097) = 50225469