What is the Least Common Multiple of 71966 and 71972?

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 71966 and 71972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71966 and 71972, than apply into the LCM equation.

GCF(71966,71972) = 2
LCM(71966,71972) = ( 71966 × 71972) / 2
LCM(71966,71972) = 5179536952 / 2
LCM(71966,71972) = 2589768476

Least Common Multiple (LCM) of 71966 and 71972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71966 and 71972. First we will calculate the prime factors of 71966 and 71972.

Prime Factorization of 71966

Prime Factorization of 71972

Now multiplying the highest exponent prime factors to calculate the LCM of 71966 and 71972.

LCM(71966,71972) = 2² × 35983¹ × 19¹ × 947¹
LCM(71966,71972) = 2589768476