What is the Least Common Multiple of 88353 and 88358?

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 88353 and 88358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88353 and 88358, than apply into the LCM equation.

GCF(88353,88358) = 1
LCM(88353,88358) = ( 88353 × 88358) / 1
LCM(88353,88358) = 7806694374 / 1
LCM(88353,88358) = 7806694374

Least Common Multiple (LCM) of 88353 and 88358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88353 and 88358. First we will calculate the prime factors of 88353 and 88358.

Prime Factorization of 88353

Prime Factorization of 88358

Now multiplying the highest exponent prime factors to calculate the LCM of 88353 and 88358.

LCM(88353,88358) = 3² × 9817¹ × 2¹ × 44179¹
LCM(88353,88358) = 7806694374