What is the Least Common Multiple of 88508 and 88523?

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 88508 and 88523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88508 and 88523, than apply into the LCM equation.

GCF(88508,88523) = 1
LCM(88508,88523) = ( 88508 × 88523) / 1
LCM(88508,88523) = 7834993684 / 1
LCM(88508,88523) = 7834993684

Least Common Multiple (LCM) of 88508 and 88523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88508 and 88523. First we will calculate the prime factors of 88508 and 88523.

Prime Factorization of 88508

Prime Factorization of 88523

Now multiplying the highest exponent prime factors to calculate the LCM of 88508 and 88523.

LCM(88508,88523) = 2² × 7¹ × 29¹ × 109¹ × 88523¹
LCM(88508,88523) = 7834993684