GCF and LCM Calculator Logo

What is the Least Common Multiple of 67283 and 67301?

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 67283 and 67301 is 4528213183.

LCM(67283,67301) = 4528213183

LCM Calculator and
and

Least Common Multiple of 67283 and 67301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67283 and 67301, than apply into the LCM equation.

GCF(67283,67301) = 1
LCM(67283,67301) = ( 67283 × 67301) / 1
LCM(67283,67301) = 4528213183 / 1
LCM(67283,67301) = 4528213183

Least Common Multiple (LCM) of 67283 and 67301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67283 and 67301. First we will calculate the prime factors of 67283 and 67301.

Prime Factorization of 67283

Prime factors of 67283 are 61, 1103. Prime factorization of 67283 in exponential form is:

67283 = 611 × 11031

Prime Factorization of 67301

Prime factors of 67301 are 13, 31, 167. Prime factorization of 67301 in exponential form is:

67301 = 131 × 311 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 67283 and 67301.

LCM(67283,67301) = 611 × 11031 × 131 × 311 × 1671
LCM(67283,67301) = 4528213183