What is the Least Common Multiple of 86353 and 86358?

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 86353 and 86358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86353 and 86358, than apply into the LCM equation.

GCF(86353,86358) = 1
LCM(86353,86358) = ( 86353 × 86358) / 1
LCM(86353,86358) = 7457272374 / 1
LCM(86353,86358) = 7457272374

Least Common Multiple (LCM) of 86353 and 86358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86353 and 86358. First we will calculate the prime factors of 86353 and 86358.

Prime Factorization of 86353

Prime Factorization of 86358

Now multiplying the highest exponent prime factors to calculate the LCM of 86353 and 86358.

LCM(86353,86358) = 86353¹ × 2¹ × 3¹ × 37¹ × 389¹
LCM(86353,86358) = 7457272374