What is the Least Common Multiple of 88325 and 88342?

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 88325 and 88342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88325 and 88342, than apply into the LCM equation.

GCF(88325,88342) = 1
LCM(88325,88342) = ( 88325 × 88342) / 1
LCM(88325,88342) = 7802807150 / 1
LCM(88325,88342) = 7802807150

Least Common Multiple (LCM) of 88325 and 88342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88325 and 88342. First we will calculate the prime factors of 88325 and 88342.

Prime Factorization of 88325

Prime Factorization of 88342

Now multiplying the highest exponent prime factors to calculate the LCM of 88325 and 88342.

LCM(88325,88342) = 5² × 3533¹ × 2¹ × 44171¹
LCM(88325,88342) = 7802807150