What is the Least Common Multiple of 67317 and 67337?

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 of 67317 and 67337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67317 and 67337, than apply into the LCM equation.

GCF(67317,67337) = 1
LCM(67317,67337) = ( 67317 × 67337) / 1
LCM(67317,67337) = 4532924829 / 1
LCM(67317,67337) = 4532924829

Least Common Multiple (LCM) of 67317 and 67337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67317 and 67337. First we will calculate the prime factors of 67317 and 67337.

Prime Factorization of 67317

Prime Factorization of 67337

Now multiplying the highest exponent prime factors to calculate the LCM of 67317 and 67337.

LCM(67317,67337) = 3¹ × 19¹ × 1181¹ × 17² × 233¹
LCM(67317,67337) = 4532924829