What is the Least Common Multiple of 34936 and 34943?

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 34936 and 34943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34936 and 34943, than apply into the LCM equation.

GCF(34936,34943) = 1
LCM(34936,34943) = ( 34936 × 34943) / 1
LCM(34936,34943) = 1220768648 / 1
LCM(34936,34943) = 1220768648

Least Common Multiple (LCM) of 34936 and 34943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34936 and 34943. First we will calculate the prime factors of 34936 and 34943.

Prime Factorization of 34936

Prime Factorization of 34943

Now multiplying the highest exponent prime factors to calculate the LCM of 34936 and 34943.

LCM(34936,34943) = 2³ × 11¹ × 397¹ × 83¹ × 421¹
LCM(34936,34943) = 1220768648