GCF and LCM Calculator Logo

What is the Least Common Multiple of 68862 and 68878?

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 68862 and 68878 is 2371538418.

LCM(68862,68878) = 2371538418

LCM Calculator and
and

Least Common Multiple of 68862 and 68878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68862 and 68878, than apply into the LCM equation.

GCF(68862,68878) = 2
LCM(68862,68878) = ( 68862 × 68878) / 2
LCM(68862,68878) = 4743076836 / 2
LCM(68862,68878) = 2371538418

Least Common Multiple (LCM) of 68862 and 68878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68862 and 68878. First we will calculate the prime factors of 68862 and 68878.

Prime Factorization of 68862

Prime factors of 68862 are 2, 3, 23, 499. Prime factorization of 68862 in exponential form is:

68862 = 21 × 31 × 231 × 4991

Prime Factorization of 68878

Prime factors of 68878 are 2, 34439. Prime factorization of 68878 in exponential form is:

68878 = 21 × 344391

Now multiplying the highest exponent prime factors to calculate the LCM of 68862 and 68878.

LCM(68862,68878) = 21 × 31 × 231 × 4991 × 344391
LCM(68862,68878) = 2371538418