What is the Least Common Multiple of 65104 and 65119?

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 65104 and 65119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65104 and 65119, than apply into the LCM equation.

GCF(65104,65119) = 1
LCM(65104,65119) = ( 65104 × 65119) / 1
LCM(65104,65119) = 4239507376 / 1
LCM(65104,65119) = 4239507376

Least Common Multiple (LCM) of 65104 and 65119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65104 and 65119. First we will calculate the prime factors of 65104 and 65119.

Prime Factorization of 65104

Prime Factorization of 65119

Now multiplying the highest exponent prime factors to calculate the LCM of 65104 and 65119.

LCM(65104,65119) = 2⁴ × 13¹ × 313¹ × 65119¹
LCM(65104,65119) = 4239507376