What is the Least Common Multiple of 88705 and 88716?

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 88705 and 88716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88705 and 88716, than apply into the LCM equation.

GCF(88705,88716) = 1
LCM(88705,88716) = ( 88705 × 88716) / 1
LCM(88705,88716) = 7869552780 / 1
LCM(88705,88716) = 7869552780

Least Common Multiple (LCM) of 88705 and 88716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88705 and 88716. First we will calculate the prime factors of 88705 and 88716.

Prime Factorization of 88705

Prime Factorization of 88716

Now multiplying the highest exponent prime factors to calculate the LCM of 88705 and 88716.

LCM(88705,88716) = 5¹ × 113¹ × 157¹ × 2² × 3¹ × 7393¹
LCM(88705,88716) = 7869552780