GCF and LCM Calculator Logo

What is the Least Common Multiple of 67363 and 67375?

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 67363 and 67375 is 4538582125.

LCM(67363,67375) = 4538582125

LCM Calculator and
and

Least Common Multiple of 67363 and 67375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67363 and 67375, than apply into the LCM equation.

GCF(67363,67375) = 1
LCM(67363,67375) = ( 67363 × 67375) / 1
LCM(67363,67375) = 4538582125 / 1
LCM(67363,67375) = 4538582125

Least Common Multiple (LCM) of 67363 and 67375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67363 and 67375. First we will calculate the prime factors of 67363 and 67375.

Prime Factorization of 67363

Prime factors of 67363 are 31, 41, 53. Prime factorization of 67363 in exponential form is:

67363 = 311 × 411 × 531

Prime Factorization of 67375

Prime factors of 67375 are 5, 7, 11. Prime factorization of 67375 in exponential form is:

67375 = 53 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 67363 and 67375.

LCM(67363,67375) = 311 × 411 × 531 × 53 × 72 × 111
LCM(67363,67375) = 4538582125