What is the Least Common Multiple of 71552 and 71565?

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 71552 and 71565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71552 and 71565, than apply into the LCM equation.

GCF(71552,71565) = 13
LCM(71552,71565) = ( 71552 × 71565) / 13
LCM(71552,71565) = 5120618880 / 13
LCM(71552,71565) = 393893760

Least Common Multiple (LCM) of 71552 and 71565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71552 and 71565. First we will calculate the prime factors of 71552 and 71565.

Prime Factorization of 71552

Prime Factorization of 71565

Now multiplying the highest exponent prime factors to calculate the LCM of 71552 and 71565.

LCM(71552,71565) = 2⁷ × 13¹ × 43¹ × 3¹ × 5¹ × 367¹
LCM(71552,71565) = 393893760