What is the Least Common Multiple of 47110 and 47123?

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 47110 and 47123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47110 and 47123, than apply into the LCM equation.

GCF(47110,47123) = 1
LCM(47110,47123) = ( 47110 × 47123) / 1
LCM(47110,47123) = 2219964530 / 1
LCM(47110,47123) = 2219964530

Least Common Multiple (LCM) of 47110 and 47123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47110 and 47123. First we will calculate the prime factors of 47110 and 47123.

Prime Factorization of 47110

Prime Factorization of 47123

Now multiplying the highest exponent prime factors to calculate the LCM of 47110 and 47123.

LCM(47110,47123) = 2¹ × 5¹ × 7¹ × 673¹ × 47123¹
LCM(47110,47123) = 2219964530