What is the Least Common Multiple of 55938 and 55943?

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 55938 and 55943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55938 and 55943, than apply into the LCM equation.

GCF(55938,55943) = 1
LCM(55938,55943) = ( 55938 × 55943) / 1
LCM(55938,55943) = 3129339534 / 1
LCM(55938,55943) = 3129339534

Least Common Multiple (LCM) of 55938 and 55943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55938 and 55943. First we will calculate the prime factors of 55938 and 55943.

Prime Factorization of 55938

Prime Factorization of 55943

Now multiplying the highest exponent prime factors to calculate the LCM of 55938 and 55943.

LCM(55938,55943) = 2¹ × 3¹ × 9323¹ × 43¹ × 1301¹
LCM(55938,55943) = 3129339534