GCF and LCM Calculator Logo

What is the Least Common Multiple of 69929 and 69937?

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 69929 and 69937 is 4890624473.

LCM(69929,69937) = 4890624473

LCM Calculator and
and

Least Common Multiple of 69929 and 69937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69929 and 69937, than apply into the LCM equation.

GCF(69929,69937) = 1
LCM(69929,69937) = ( 69929 × 69937) / 1
LCM(69929,69937) = 4890624473 / 1
LCM(69929,69937) = 4890624473

Least Common Multiple (LCM) of 69929 and 69937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69929 and 69937. First we will calculate the prime factors of 69929 and 69937.

Prime Factorization of 69929

Prime factors of 69929 are 69929. Prime factorization of 69929 in exponential form is:

69929 = 699291

Prime Factorization of 69937

Prime factors of 69937 are 7, 97, 103. Prime factorization of 69937 in exponential form is:

69937 = 71 × 971 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 69929 and 69937.

LCM(69929,69937) = 699291 × 71 × 971 × 1031
LCM(69929,69937) = 4890624473