GCF and LCM Calculator Logo

What is the Least Common Multiple of 67361 and 67366?

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 67361 and 67366 is 4537841126.

LCM(67361,67366) = 4537841126

LCM Calculator and
and

Least Common Multiple of 67361 and 67366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67361 and 67366, than apply into the LCM equation.

GCF(67361,67366) = 1
LCM(67361,67366) = ( 67361 × 67366) / 1
LCM(67361,67366) = 4537841126 / 1
LCM(67361,67366) = 4537841126

Least Common Multiple (LCM) of 67361 and 67366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67361 and 67366. First we will calculate the prime factors of 67361 and 67366.

Prime Factorization of 67361

Prime factors of 67361 are 7, 9623. Prime factorization of 67361 in exponential form is:

67361 = 71 × 96231

Prime Factorization of 67366

Prime factors of 67366 are 2, 13, 2591. Prime factorization of 67366 in exponential form is:

67366 = 21 × 131 × 25911

Now multiplying the highest exponent prime factors to calculate the LCM of 67361 and 67366.

LCM(67361,67366) = 71 × 96231 × 21 × 131 × 25911
LCM(67361,67366) = 4537841126