What is the Least Common Multiple of 47232 and 47244?

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 47232 and 47244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47232 and 47244, than apply into the LCM equation.

GCF(47232,47244) = 12
LCM(47232,47244) = ( 47232 × 47244) / 12
LCM(47232,47244) = 2231428608 / 12
LCM(47232,47244) = 185952384

Least Common Multiple (LCM) of 47232 and 47244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47232 and 47244. First we will calculate the prime factors of 47232 and 47244.

Prime Factorization of 47232

Prime Factorization of 47244

Now multiplying the highest exponent prime factors to calculate the LCM of 47232 and 47244.

LCM(47232,47244) = 2⁷ × 3² × 41¹ × 31¹ × 127¹
LCM(47232,47244) = 185952384