GCF and LCM Calculator Logo

What is the Least Common Multiple of 68907 and 68913?

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 68907 and 68913 is 1582862697.

LCM(68907,68913) = 1582862697

LCM Calculator and
and

Least Common Multiple of 68907 and 68913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68907 and 68913, than apply into the LCM equation.

GCF(68907,68913) = 3
LCM(68907,68913) = ( 68907 × 68913) / 3
LCM(68907,68913) = 4748588091 / 3
LCM(68907,68913) = 1582862697

Least Common Multiple (LCM) of 68907 and 68913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68907 and 68913. First we will calculate the prime factors of 68907 and 68913.

Prime Factorization of 68907

Prime factors of 68907 are 3, 103, 223. Prime factorization of 68907 in exponential form is:

68907 = 31 × 1031 × 2231

Prime Factorization of 68913

Prime factors of 68913 are 3, 13, 19, 31. Prime factorization of 68913 in exponential form is:

68913 = 32 × 131 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 68907 and 68913.

LCM(68907,68913) = 32 × 1031 × 2231 × 131 × 191 × 311
LCM(68907,68913) = 1582862697