GCF and LCM Calculator Logo

What is the Least Common Multiple of 67758 and 67768?

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 67758 and 67768 is 2295912072.

LCM(67758,67768) = 2295912072

LCM Calculator and
and

Least Common Multiple of 67758 and 67768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67758 and 67768, than apply into the LCM equation.

GCF(67758,67768) = 2
LCM(67758,67768) = ( 67758 × 67768) / 2
LCM(67758,67768) = 4591824144 / 2
LCM(67758,67768) = 2295912072

Least Common Multiple (LCM) of 67758 and 67768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67758 and 67768. First we will calculate the prime factors of 67758 and 67768.

Prime Factorization of 67758

Prime factors of 67758 are 2, 3, 23, 491. Prime factorization of 67758 in exponential form is:

67758 = 21 × 31 × 231 × 4911

Prime Factorization of 67768

Prime factors of 67768 are 2, 43, 197. Prime factorization of 67768 in exponential form is:

67768 = 23 × 431 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 67758 and 67768.

LCM(67758,67768) = 23 × 31 × 231 × 4911 × 431 × 1971
LCM(67758,67768) = 2295912072