What is the Least Common Multiple of 65384 and 65402?

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 65384 and 65402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65384 and 65402, than apply into the LCM equation.

GCF(65384,65402) = 2
LCM(65384,65402) = ( 65384 × 65402) / 2
LCM(65384,65402) = 4276244368 / 2
LCM(65384,65402) = 2138122184

Least Common Multiple (LCM) of 65384 and 65402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65384 and 65402. First we will calculate the prime factors of 65384 and 65402.

Prime Factorization of 65384

Prime Factorization of 65402

Now multiplying the highest exponent prime factors to calculate the LCM of 65384 and 65402.

LCM(65384,65402) = 2³ × 11¹ × 743¹ × 53¹ × 617¹
LCM(65384,65402) = 2138122184