GCF and LCM Calculator Logo

What is the Least Common Multiple of 68955 and 68968?

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 68955 and 68968 is 4755688440.

LCM(68955,68968) = 4755688440

LCM Calculator and
and

Least Common Multiple of 68955 and 68968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68955 and 68968, than apply into the LCM equation.

GCF(68955,68968) = 1
LCM(68955,68968) = ( 68955 × 68968) / 1
LCM(68955,68968) = 4755688440 / 1
LCM(68955,68968) = 4755688440

Least Common Multiple (LCM) of 68955 and 68968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68955 and 68968. First we will calculate the prime factors of 68955 and 68968.

Prime Factorization of 68955

Prime factors of 68955 are 3, 5, 4597. Prime factorization of 68955 in exponential form is:

68955 = 31 × 51 × 45971

Prime Factorization of 68968

Prime factors of 68968 are 2, 37, 233. Prime factorization of 68968 in exponential form is:

68968 = 23 × 371 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 68955 and 68968.

LCM(68955,68968) = 31 × 51 × 45971 × 23 × 371 × 2331
LCM(68955,68968) = 4755688440