What is the Least Common Multiple of 64923 and 64943?

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 64923 and 64943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64923 and 64943, than apply into the LCM equation.

GCF(64923,64943) = 1
LCM(64923,64943) = ( 64923 × 64943) / 1
LCM(64923,64943) = 4216294389 / 1
LCM(64923,64943) = 4216294389

Least Common Multiple (LCM) of 64923 and 64943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64923 and 64943. First we will calculate the prime factors of 64923 and 64943.

Prime Factorization of 64923

Prime Factorization of 64943

Now multiplying the highest exponent prime factors to calculate the LCM of 64923 and 64943.

LCM(64923,64943) = 3¹ × 17¹ × 19¹ × 67¹ × 101¹ × 643¹
LCM(64923,64943) = 4216294389