GCF and LCM Calculator Logo

What is the Least Common Multiple of 68986 and 69005?

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 68986 and 69005 is 4760378930.

LCM(68986,69005) = 4760378930

LCM Calculator and
and

Least Common Multiple of 68986 and 69005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68986 and 69005, than apply into the LCM equation.

GCF(68986,69005) = 1
LCM(68986,69005) = ( 68986 × 69005) / 1
LCM(68986,69005) = 4760378930 / 1
LCM(68986,69005) = 4760378930

Least Common Multiple (LCM) of 68986 and 69005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68986 and 69005. First we will calculate the prime factors of 68986 and 69005.

Prime Factorization of 68986

Prime factors of 68986 are 2, 17, 2029. Prime factorization of 68986 in exponential form is:

68986 = 21 × 171 × 20291

Prime Factorization of 69005

Prime factors of 69005 are 5, 37, 373. Prime factorization of 69005 in exponential form is:

69005 = 51 × 371 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 68986 and 69005.

LCM(68986,69005) = 21 × 171 × 20291 × 51 × 371 × 3731
LCM(68986,69005) = 4760378930