What is the Least Common Multiple of 71972 and 71991?

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 71972 and 71991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71972 and 71991, than apply into the LCM equation.

GCF(71972,71991) = 19
LCM(71972,71991) = ( 71972 × 71991) / 19
LCM(71972,71991) = 5181336252 / 19
LCM(71972,71991) = 272701908

Least Common Multiple (LCM) of 71972 and 71991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71972 and 71991. First we will calculate the prime factors of 71972 and 71991.

Prime Factorization of 71972

Prime Factorization of 71991

Now multiplying the highest exponent prime factors to calculate the LCM of 71972 and 71991.

LCM(71972,71991) = 2² × 19¹ × 947¹ × 3² × 421¹
LCM(71972,71991) = 272701908