GCF and LCM Calculator Logo

What is the Least Common Multiple of 68217 and 68234?

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 68217 and 68234 is 4654718778.

LCM(68217,68234) = 4654718778

LCM Calculator and
and

Least Common Multiple of 68217 and 68234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68217 and 68234, than apply into the LCM equation.

GCF(68217,68234) = 1
LCM(68217,68234) = ( 68217 × 68234) / 1
LCM(68217,68234) = 4654718778 / 1
LCM(68217,68234) = 4654718778

Least Common Multiple (LCM) of 68217 and 68234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68217 and 68234. First we will calculate the prime factors of 68217 and 68234.

Prime Factorization of 68217

Prime factors of 68217 are 3, 22739. Prime factorization of 68217 in exponential form is:

68217 = 31 × 227391

Prime Factorization of 68234

Prime factors of 68234 are 2, 109, 313. Prime factorization of 68234 in exponential form is:

68234 = 21 × 1091 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 68217 and 68234.

LCM(68217,68234) = 31 × 227391 × 21 × 1091 × 3131
LCM(68217,68234) = 4654718778