What is the Least Common Multiple of 71905 and 71923?

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 71905 and 71923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71905 and 71923, than apply into the LCM equation.

GCF(71905,71923) = 1
LCM(71905,71923) = ( 71905 × 71923) / 1
LCM(71905,71923) = 5171623315 / 1
LCM(71905,71923) = 5171623315

Least Common Multiple (LCM) of 71905 and 71923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71905 and 71923. First we will calculate the prime factors of 71905 and 71923.

Prime Factorization of 71905

Prime Factorization of 71923

Now multiplying the highest exponent prime factors to calculate the LCM of 71905 and 71923.

LCM(71905,71923) = 5¹ × 73¹ × 197¹ × 71¹ × 1013¹
LCM(71905,71923) = 5171623315