What is the Least Common Multiple of 66320 and 66335?

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 66320 and 66335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66320 and 66335, than apply into the LCM equation.

GCF(66320,66335) = 5
LCM(66320,66335) = ( 66320 × 66335) / 5
LCM(66320,66335) = 4399337200 / 5
LCM(66320,66335) = 879867440

Least Common Multiple (LCM) of 66320 and 66335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66320 and 66335. First we will calculate the prime factors of 66320 and 66335.

Prime Factorization of 66320

Prime Factorization of 66335

Now multiplying the highest exponent prime factors to calculate the LCM of 66320 and 66335.

LCM(66320,66335) = 2⁴ × 5¹ × 829¹ × 13267¹
LCM(66320,66335) = 879867440