What is the Least Common Multiple of 71938 and 71948?

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 71948 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 71948, than apply into the LCM equation.

GCF(71938,71948) = 2
LCM(71938,71948) = ( 71938 × 71948) / 2
LCM(71938,71948) = 5175795224 / 2
LCM(71938,71948) = 2587897612

Least Common Multiple (LCM) of 71938 and 71948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71938 and 71948. First we will calculate the prime factors of 71938 and 71948.

Prime Factorization of 71938

Prime Factorization of 71948

Now multiplying the highest exponent prime factors to calculate the LCM of 71938 and 71948.

LCM(71938,71948) = 2² × 35969¹ × 17987¹
LCM(71938,71948) = 2587897612