What is the Least Common Multiple of 5696 and 5715?

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 5696 and 5715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5696 and 5715, than apply into the LCM equation.

GCF(5696,5715) = 1
LCM(5696,5715) = ( 5696 × 5715) / 1
LCM(5696,5715) = 32552640 / 1
LCM(5696,5715) = 32552640

Least Common Multiple (LCM) of 5696 and 5715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5696 and 5715. First we will calculate the prime factors of 5696 and 5715.

Prime Factorization of 5696

Prime Factorization of 5715

Now multiplying the highest exponent prime factors to calculate the LCM of 5696 and 5715.

LCM(5696,5715) = 2⁶ × 89¹ × 3² × 5¹ × 127¹
LCM(5696,5715) = 32552640