What is the Least Common Multiple of 47115 and 47128?

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 47115 and 47128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47115 and 47128, than apply into the LCM equation.

GCF(47115,47128) = 1
LCM(47115,47128) = ( 47115 × 47128) / 1
LCM(47115,47128) = 2220435720 / 1
LCM(47115,47128) = 2220435720

Least Common Multiple (LCM) of 47115 and 47128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47115 and 47128. First we will calculate the prime factors of 47115 and 47128.

Prime Factorization of 47115

Prime Factorization of 47128

Now multiplying the highest exponent prime factors to calculate the LCM of 47115 and 47128.

LCM(47115,47128) = 3³ × 5¹ × 349¹ × 2³ × 43¹ × 137¹
LCM(47115,47128) = 2220435720