What is the Least Common Multiple of 47135 and 47153?

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 of 47135 and 47153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47135 and 47153, than apply into the LCM equation.

GCF(47135,47153) = 1
LCM(47135,47153) = ( 47135 × 47153) / 1
LCM(47135,47153) = 2222556655 / 1
LCM(47135,47153) = 2222556655

Least Common Multiple (LCM) of 47135 and 47153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47135 and 47153. First we will calculate the prime factors of 47135 and 47153.

Prime Factorization of 47135

Prime Factorization of 47153

Now multiplying the highest exponent prime factors to calculate the LCM of 47135 and 47153.

LCM(47135,47153) = 5¹ × 11¹ × 857¹ × 61¹ × 773¹
LCM(47135,47153) = 2222556655