GCF and LCM Calculator Logo

What is the Least Common Multiple of 74196 and 74205?

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 74196 and 74205 is 611746020.

LCM(74196,74205) = 611746020

LCM Calculator and
and

Least Common Multiple of 74196 and 74205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74196 and 74205, than apply into the LCM equation.

GCF(74196,74205) = 9
LCM(74196,74205) = ( 74196 × 74205) / 9
LCM(74196,74205) = 5505714180 / 9
LCM(74196,74205) = 611746020

Least Common Multiple (LCM) of 74196 and 74205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74196 and 74205. First we will calculate the prime factors of 74196 and 74205.

Prime Factorization of 74196

Prime factors of 74196 are 2, 3, 229. Prime factorization of 74196 in exponential form is:

74196 = 22 × 34 × 2291

Prime Factorization of 74205

Prime factors of 74205 are 3, 5, 17, 97. Prime factorization of 74205 in exponential form is:

74205 = 32 × 51 × 171 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 74196 and 74205.

LCM(74196,74205) = 22 × 34 × 2291 × 51 × 171 × 971
LCM(74196,74205) = 611746020