What is the Least Common Multiple of 73928 and 73948?

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 73928 and 73948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73928 and 73948, than apply into the LCM equation.

GCF(73928,73948) = 4
LCM(73928,73948) = ( 73928 × 73948) / 4
LCM(73928,73948) = 5466827744 / 4
LCM(73928,73948) = 1366706936

Least Common Multiple (LCM) of 73928 and 73948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73928 and 73948. First we will calculate the prime factors of 73928 and 73948.

Prime Factorization of 73928

Prime Factorization of 73948

Now multiplying the highest exponent prime factors to calculate the LCM of 73928 and 73948.

LCM(73928,73948) = 2³ × 9241¹ × 7¹ × 19¹ × 139¹
LCM(73928,73948) = 1366706936