What is the Least Common Multiple of 70320 and 70335?

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 70320 and 70335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70320 and 70335, than apply into the LCM equation.

GCF(70320,70335) = 15
LCM(70320,70335) = ( 70320 × 70335) / 15
LCM(70320,70335) = 4945957200 / 15
LCM(70320,70335) = 329730480

Least Common Multiple (LCM) of 70320 and 70335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70320 and 70335. First we will calculate the prime factors of 70320 and 70335.

Prime Factorization of 70320

Prime Factorization of 70335

Now multiplying the highest exponent prime factors to calculate the LCM of 70320 and 70335.

LCM(70320,70335) = 2⁴ × 3³ × 5¹ × 293¹ × 521¹
LCM(70320,70335) = 329730480