What is the Least Common Multiple of 10384 and 10402?

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 10384 and 10402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10384 and 10402, than apply into the LCM equation.

GCF(10384,10402) = 2
LCM(10384,10402) = ( 10384 × 10402) / 2
LCM(10384,10402) = 108014368 / 2
LCM(10384,10402) = 54007184

Least Common Multiple (LCM) of 10384 and 10402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10384 and 10402. First we will calculate the prime factors of 10384 and 10402.

Prime Factorization of 10384

Prime Factorization of 10402

Now multiplying the highest exponent prime factors to calculate the LCM of 10384 and 10402.

LCM(10384,10402) = 2⁴ × 11¹ × 59¹ × 7¹ × 743¹
LCM(10384,10402) = 54007184