GCF and LCM Calculator Logo

What is the Least Common Multiple of 68497 and 68514?

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 68497 and 68514 is 4693003458.

LCM(68497,68514) = 4693003458

LCM Calculator and
and

Least Common Multiple of 68497 and 68514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68497 and 68514, than apply into the LCM equation.

GCF(68497,68514) = 1
LCM(68497,68514) = ( 68497 × 68514) / 1
LCM(68497,68514) = 4693003458 / 1
LCM(68497,68514) = 4693003458

Least Common Multiple (LCM) of 68497 and 68514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68497 and 68514. First we will calculate the prime factors of 68497 and 68514.

Prime Factorization of 68497

Prime factors of 68497 are 11, 13, 479. Prime factorization of 68497 in exponential form is:

68497 = 111 × 131 × 4791

Prime Factorization of 68514

Prime factors of 68514 are 2, 3, 19, 601. Prime factorization of 68514 in exponential form is:

68514 = 21 × 31 × 191 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 68497 and 68514.

LCM(68497,68514) = 111 × 131 × 4791 × 21 × 31 × 191 × 6011
LCM(68497,68514) = 4693003458