What is the Least Common Multiple of 71554 and 71573?

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 71554 and 71573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71554 and 71573, than apply into the LCM equation.

GCF(71554,71573) = 19
LCM(71554,71573) = ( 71554 × 71573) / 19
LCM(71554,71573) = 5121334442 / 19
LCM(71554,71573) = 269543918

Least Common Multiple (LCM) of 71554 and 71573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71554 and 71573. First we will calculate the prime factors of 71554 and 71573.

Prime Factorization of 71554

Prime Factorization of 71573

Now multiplying the highest exponent prime factors to calculate the LCM of 71554 and 71573.

LCM(71554,71573) = 2¹ × 7¹ × 19¹ × 269¹ × 3767¹
LCM(71554,71573) = 269543918