GCF and LCM Calculator Logo

What is the Least Common Multiple of 69922 and 69933?

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 69922 and 69933 is 4889855226.

LCM(69922,69933) = 4889855226

LCM Calculator and
and

Least Common Multiple of 69922 and 69933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69922 and 69933, than apply into the LCM equation.

GCF(69922,69933) = 1
LCM(69922,69933) = ( 69922 × 69933) / 1
LCM(69922,69933) = 4889855226 / 1
LCM(69922,69933) = 4889855226

Least Common Multiple (LCM) of 69922 and 69933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69922 and 69933. First we will calculate the prime factors of 69922 and 69933.

Prime Factorization of 69922

Prime factors of 69922 are 2, 34961. Prime factorization of 69922 in exponential form is:

69922 = 21 × 349611

Prime Factorization of 69933

Prime factors of 69933 are 3, 23311. Prime factorization of 69933 in exponential form is:

69933 = 31 × 233111

Now multiplying the highest exponent prime factors to calculate the LCM of 69922 and 69933.

LCM(69922,69933) = 21 × 349611 × 31 × 233111
LCM(69922,69933) = 4889855226