What is the Least Common Multiple of 65028 and 65038?

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 65028 and 65038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65028 and 65038, than apply into the LCM equation.

GCF(65028,65038) = 2
LCM(65028,65038) = ( 65028 × 65038) / 2
LCM(65028,65038) = 4229291064 / 2
LCM(65028,65038) = 2114645532

Least Common Multiple (LCM) of 65028 and 65038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65028 and 65038. First we will calculate the prime factors of 65028 and 65038.

Prime Factorization of 65028

Prime Factorization of 65038

Now multiplying the highest exponent prime factors to calculate the LCM of 65028 and 65038.

LCM(65028,65038) = 2² × 3¹ × 5419¹ × 31¹ × 1049¹
LCM(65028,65038) = 2114645532