What is the Least Common Multiple of 47912 and 47920?

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 47912 and 47920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47912 and 47920, than apply into the LCM equation.

GCF(47912,47920) = 8
LCM(47912,47920) = ( 47912 × 47920) / 8
LCM(47912,47920) = 2295943040 / 8
LCM(47912,47920) = 286992880

Least Common Multiple (LCM) of 47912 and 47920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47912 and 47920. First we will calculate the prime factors of 47912 and 47920.

Prime Factorization of 47912

Prime Factorization of 47920

Now multiplying the highest exponent prime factors to calculate the LCM of 47912 and 47920.

LCM(47912,47920) = 2⁴ × 53¹ × 113¹ × 5¹ × 599¹
LCM(47912,47920) = 286992880