What is the Least Common Multiple of 54938 and 54943?

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 54938 and 54943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54938 and 54943, than apply into the LCM equation.

GCF(54938,54943) = 1
LCM(54938,54943) = ( 54938 × 54943) / 1
LCM(54938,54943) = 3018458534 / 1
LCM(54938,54943) = 3018458534

Least Common Multiple (LCM) of 54938 and 54943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54938 and 54943. First we will calculate the prime factors of 54938 and 54943.

Prime Factorization of 54938

Prime Factorization of 54943

Now multiplying the highest exponent prime factors to calculate the LCM of 54938 and 54943.

LCM(54938,54943) = 2¹ × 13¹ × 2113¹ × 7¹ × 47¹ × 167¹
LCM(54938,54943) = 3018458534