What is the Least Common Multiple of 64923 and 64942?

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 64942 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 64942, than apply into the LCM equation.

GCF(64923,64942) = 19
LCM(64923,64942) = ( 64923 × 64942) / 19
LCM(64923,64942) = 4216229466 / 19
LCM(64923,64942) = 221906814

Least Common Multiple (LCM) of 64923 and 64942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64923 and 64942. First we will calculate the prime factors of 64923 and 64942.

Prime Factorization of 64923

Prime Factorization of 64942

Now multiplying the highest exponent prime factors to calculate the LCM of 64923 and 64942.

LCM(64923,64942) = 3¹ × 17¹ × 19¹ × 67¹ × 2¹ × 1709¹
LCM(64923,64942) = 221906814