What is the Least Common Multiple of 71938 and 71943?

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 71938 and 71943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71938 and 71943, than apply into the LCM equation.

GCF(71938,71943) = 1
LCM(71938,71943) = ( 71938 × 71943) / 1
LCM(71938,71943) = 5175435534 / 1
LCM(71938,71943) = 5175435534

Least Common Multiple (LCM) of 71938 and 71943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71938 and 71943. First we will calculate the prime factors of 71938 and 71943.

Prime Factorization of 71938

Prime Factorization of 71943

Now multiplying the highest exponent prime factors to calculate the LCM of 71938 and 71943.

LCM(71938,71943) = 2¹ × 35969¹ × 3¹ × 23981¹
LCM(71938,71943) = 5175435534