GCF and LCM Calculator Logo

What is the Least Common Multiple of 67249 and 67253?

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 67249 and 67253 is 4522696997.

LCM(67249,67253) = 4522696997

LCM Calculator and
and

Least Common Multiple of 67249 and 67253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67249 and 67253, than apply into the LCM equation.

GCF(67249,67253) = 1
LCM(67249,67253) = ( 67249 × 67253) / 1
LCM(67249,67253) = 4522696997 / 1
LCM(67249,67253) = 4522696997

Least Common Multiple (LCM) of 67249 and 67253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67249 and 67253. First we will calculate the prime factors of 67249 and 67253.

Prime Factorization of 67249

Prime factors of 67249 are 7, 13, 739. Prime factorization of 67249 in exponential form is:

67249 = 71 × 131 × 7391

Prime Factorization of 67253

Prime factors of 67253 are 109, 617. Prime factorization of 67253 in exponential form is:

67253 = 1091 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 67249 and 67253.

LCM(67249,67253) = 71 × 131 × 7391 × 1091 × 6171
LCM(67249,67253) = 4522696997