GCF and LCM Calculator Logo

What is the Least Common Multiple of 68768 and 68776?

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 68768 and 68776 is 591198496.

LCM(68768,68776) = 591198496

LCM Calculator and
and

Least Common Multiple of 68768 and 68776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68768 and 68776, than apply into the LCM equation.

GCF(68768,68776) = 8
LCM(68768,68776) = ( 68768 × 68776) / 8
LCM(68768,68776) = 4729587968 / 8
LCM(68768,68776) = 591198496

Least Common Multiple (LCM) of 68768 and 68776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68768 and 68776. First we will calculate the prime factors of 68768 and 68776.

Prime Factorization of 68768

Prime factors of 68768 are 2, 7, 307. Prime factorization of 68768 in exponential form is:

68768 = 25 × 71 × 3071

Prime Factorization of 68776

Prime factors of 68776 are 2, 8597. Prime factorization of 68776 in exponential form is:

68776 = 23 × 85971

Now multiplying the highest exponent prime factors to calculate the LCM of 68768 and 68776.

LCM(68768,68776) = 25 × 71 × 3071 × 85971
LCM(68768,68776) = 591198496