What is the Least Common Multiple of 47920 and 47932?

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 47920 and 47932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47920 and 47932, than apply into the LCM equation.

GCF(47920,47932) = 4
LCM(47920,47932) = ( 47920 × 47932) / 4
LCM(47920,47932) = 2296901440 / 4
LCM(47920,47932) = 574225360

Least Common Multiple (LCM) of 47920 and 47932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47920 and 47932. First we will calculate the prime factors of 47920 and 47932.

Prime Factorization of 47920

Prime Factorization of 47932

Now multiplying the highest exponent prime factors to calculate the LCM of 47920 and 47932.

LCM(47920,47932) = 2⁴ × 5¹ × 599¹ × 23¹ × 521¹
LCM(47920,47932) = 574225360