What is the Least Common Multiple of 75608 and 75616?

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 75608 and 75616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75608 and 75616, than apply into the LCM equation.

GCF(75608,75616) = 8
LCM(75608,75616) = ( 75608 × 75616) / 8
LCM(75608,75616) = 5717174528 / 8
LCM(75608,75616) = 714646816

Least Common Multiple (LCM) of 75608 and 75616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75608 and 75616. First we will calculate the prime factors of 75608 and 75616.

Prime Factorization of 75608

Prime Factorization of 75616

Now multiplying the highest exponent prime factors to calculate the LCM of 75608 and 75616.

LCM(75608,75616) = 2⁵ × 13¹ × 727¹ × 17¹ × 139¹
LCM(75608,75616) = 714646816