GCF and LCM Calculator Logo

What is the Least Common Multiple of 9077 and 9092?

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 9077 and 9092 is 82528084.

LCM(9077,9092) = 82528084

LCM Calculator and
and

Least Common Multiple of 9077 and 9092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9077 and 9092, than apply into the LCM equation.

GCF(9077,9092) = 1
LCM(9077,9092) = ( 9077 × 9092) / 1
LCM(9077,9092) = 82528084 / 1
LCM(9077,9092) = 82528084

Least Common Multiple (LCM) of 9077 and 9092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9077 and 9092. First we will calculate the prime factors of 9077 and 9092.

Prime Factorization of 9077

Prime factors of 9077 are 29, 313. Prime factorization of 9077 in exponential form is:

9077 = 291 × 3131

Prime Factorization of 9092

Prime factors of 9092 are 2, 2273. Prime factorization of 9092 in exponential form is:

9092 = 22 × 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 9077 and 9092.

LCM(9077,9092) = 291 × 3131 × 22 × 22731
LCM(9077,9092) = 82528084