What is the Least Common Multiple of 86320 and 86335?

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 86320 and 86335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86320 and 86335, than apply into the LCM equation.

GCF(86320,86335) = 5
LCM(86320,86335) = ( 86320 × 86335) / 5
LCM(86320,86335) = 7452437200 / 5
LCM(86320,86335) = 1490487440

Least Common Multiple (LCM) of 86320 and 86335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86320 and 86335. First we will calculate the prime factors of 86320 and 86335.

Prime Factorization of 86320

Prime Factorization of 86335

Now multiplying the highest exponent prime factors to calculate the LCM of 86320 and 86335.

LCM(86320,86335) = 2⁴ × 5¹ × 13¹ × 83¹ × 31¹ × 557¹
LCM(86320,86335) = 1490487440