What is the Least Common Multiple of 47890 and 47904?

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 47890 and 47904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47890 and 47904, than apply into the LCM equation.

GCF(47890,47904) = 2
LCM(47890,47904) = ( 47890 × 47904) / 2
LCM(47890,47904) = 2294122560 / 2
LCM(47890,47904) = 1147061280

Least Common Multiple (LCM) of 47890 and 47904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47890 and 47904. First we will calculate the prime factors of 47890 and 47904.

Prime Factorization of 47890

Prime Factorization of 47904

Now multiplying the highest exponent prime factors to calculate the LCM of 47890 and 47904.

LCM(47890,47904) = 2⁵ × 5¹ × 4789¹ × 3¹ × 499¹
LCM(47890,47904) = 1147061280