What is the Least Common Multiple of 71900 and 71905?

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 71900 and 71905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71900 and 71905, than apply into the LCM equation.

GCF(71900,71905) = 5
LCM(71900,71905) = ( 71900 × 71905) / 5
LCM(71900,71905) = 5169969500 / 5
LCM(71900,71905) = 1033993900

Least Common Multiple (LCM) of 71900 and 71905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71900 and 71905. First we will calculate the prime factors of 71900 and 71905.

Prime Factorization of 71900

Prime Factorization of 71905

Now multiplying the highest exponent prime factors to calculate the LCM of 71900 and 71905.

LCM(71900,71905) = 2² × 5² × 719¹ × 73¹ × 197¹
LCM(71900,71905) = 1033993900