What is the Least Common Multiple of 65904 and 65919?

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 65904 and 65919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65904 and 65919, than apply into the LCM equation.

GCF(65904,65919) = 3
LCM(65904,65919) = ( 65904 × 65919) / 3
LCM(65904,65919) = 4344325776 / 3
LCM(65904,65919) = 1448108592

Least Common Multiple (LCM) of 65904 and 65919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65904 and 65919. First we will calculate the prime factors of 65904 and 65919.

Prime Factorization of 65904

Prime Factorization of 65919

Now multiplying the highest exponent prime factors to calculate the LCM of 65904 and 65919.

LCM(65904,65919) = 2⁴ × 3¹ × 1373¹ × 7¹ × 43¹ × 73¹
LCM(65904,65919) = 1448108592