What is the Least Common Multiple of 65476 and 65494?

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 65476 and 65494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65476 and 65494, than apply into the LCM equation.

GCF(65476,65494) = 2
LCM(65476,65494) = ( 65476 × 65494) / 2
LCM(65476,65494) = 4288285144 / 2
LCM(65476,65494) = 2144142572

Least Common Multiple (LCM) of 65476 and 65494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65476 and 65494. First we will calculate the prime factors of 65476 and 65494.

Prime Factorization of 65476

Prime Factorization of 65494

Now multiplying the highest exponent prime factors to calculate the LCM of 65476 and 65494.

LCM(65476,65494) = 2² × 16369¹ × 11¹ × 13¹ × 229¹
LCM(65476,65494) = 2144142572