What is the Least Common Multiple of 71519 and 71536?

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 71519 and 71536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71519 and 71536, than apply into the LCM equation.

GCF(71519,71536) = 17
LCM(71519,71536) = ( 71519 × 71536) / 17
LCM(71519,71536) = 5116183184 / 17
LCM(71519,71536) = 300951952

Least Common Multiple (LCM) of 71519 and 71536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71519 and 71536. First we will calculate the prime factors of 71519 and 71536.

Prime Factorization of 71519

Prime Factorization of 71536

Now multiplying the highest exponent prime factors to calculate the LCM of 71519 and 71536.

LCM(71519,71536) = 7¹ × 17¹ × 601¹ × 2⁴ × 263¹
LCM(71519,71536) = 300951952