What is the Least Common Multiple of 47117 and 47124?

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 47117 and 47124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47117 and 47124, than apply into the LCM equation.

GCF(47117,47124) = 7
LCM(47117,47124) = ( 47117 × 47124) / 7
LCM(47117,47124) = 2220341508 / 7
LCM(47117,47124) = 317191644

Least Common Multiple (LCM) of 47117 and 47124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47117 and 47124. First we will calculate the prime factors of 47117 and 47124.

Prime Factorization of 47117

Prime Factorization of 47124

Now multiplying the highest exponent prime factors to calculate the LCM of 47117 and 47124.

LCM(47117,47124) = 7¹ × 53¹ × 127¹ × 2² × 3² × 11¹ × 17¹
LCM(47117,47124) = 317191644