GCF and LCM Calculator Logo

What is the Least Common Multiple of 68498 and 68506?

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 68498 and 68506 is 2346261994.

LCM(68498,68506) = 2346261994

LCM Calculator and
and

Least Common Multiple of 68498 and 68506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68498 and 68506, than apply into the LCM equation.

GCF(68498,68506) = 2
LCM(68498,68506) = ( 68498 × 68506) / 2
LCM(68498,68506) = 4692523988 / 2
LCM(68498,68506) = 2346261994

Least Common Multiple (LCM) of 68498 and 68506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68498 and 68506. First we will calculate the prime factors of 68498 and 68506.

Prime Factorization of 68498

Prime factors of 68498 are 2, 29, 1181. Prime factorization of 68498 in exponential form is:

68498 = 21 × 291 × 11811

Prime Factorization of 68506

Prime factors of 68506 are 2, 34253. Prime factorization of 68506 in exponential form is:

68506 = 21 × 342531

Now multiplying the highest exponent prime factors to calculate the LCM of 68498 and 68506.

LCM(68498,68506) = 21 × 291 × 11811 × 342531
LCM(68498,68506) = 2346261994