GCF and LCM Calculator Logo

What is the Least Common Multiple of 47153 and 47166?

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 47153 and 47166 is 2224018398.

LCM(47153,47166) = 2224018398

LCM Calculator and
and

Least Common Multiple of 47153 and 47166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47153 and 47166, than apply into the LCM equation.

GCF(47153,47166) = 1
LCM(47153,47166) = ( 47153 × 47166) / 1
LCM(47153,47166) = 2224018398 / 1
LCM(47153,47166) = 2224018398

Least Common Multiple (LCM) of 47153 and 47166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47153 and 47166. First we will calculate the prime factors of 47153 and 47166.

Prime Factorization of 47153

Prime factors of 47153 are 61, 773. Prime factorization of 47153 in exponential form is:

47153 = 611 × 7731

Prime Factorization of 47166

Prime factors of 47166 are 2, 3, 7, 1123. Prime factorization of 47166 in exponential form is:

47166 = 21 × 31 × 71 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 47153 and 47166.

LCM(47153,47166) = 611 × 7731 × 21 × 31 × 71 × 11231
LCM(47153,47166) = 2224018398