GCF and LCM Calculator Logo

What is the Least Common Multiple of 67955 and 67964?

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 67955 and 67964 is 4618493620.

LCM(67955,67964) = 4618493620

LCM Calculator and
and

Least Common Multiple of 67955 and 67964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67955 and 67964, than apply into the LCM equation.

GCF(67955,67964) = 1
LCM(67955,67964) = ( 67955 × 67964) / 1
LCM(67955,67964) = 4618493620 / 1
LCM(67955,67964) = 4618493620

Least Common Multiple (LCM) of 67955 and 67964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67955 and 67964. First we will calculate the prime factors of 67955 and 67964.

Prime Factorization of 67955

Prime factors of 67955 are 5, 13591. Prime factorization of 67955 in exponential form is:

67955 = 51 × 135911

Prime Factorization of 67964

Prime factors of 67964 are 2, 13, 1307. Prime factorization of 67964 in exponential form is:

67964 = 22 × 131 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 67955 and 67964.

LCM(67955,67964) = 51 × 135911 × 22 × 131 × 13071
LCM(67955,67964) = 4618493620