What is the Least Common Multiple of 73948 and 73959?

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 73948 and 73959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73948 and 73959, than apply into the LCM equation.

GCF(73948,73959) = 1
LCM(73948,73959) = ( 73948 × 73959) / 1
LCM(73948,73959) = 5469120132 / 1
LCM(73948,73959) = 5469120132

Least Common Multiple (LCM) of 73948 and 73959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73948 and 73959. First we will calculate the prime factors of 73948 and 73959.

Prime Factorization of 73948

Prime Factorization of 73959

Now multiplying the highest exponent prime factors to calculate the LCM of 73948 and 73959.

LCM(73948,73959) = 2² × 7¹ × 19¹ × 139¹ × 3¹ × 89¹ × 277¹
LCM(73948,73959) = 5469120132