What is the Least Common Multiple of 70720 and 70733?

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 70720 and 70733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70720 and 70733, than apply into the LCM equation.

GCF(70720,70733) = 13
LCM(70720,70733) = ( 70720 × 70733) / 13
LCM(70720,70733) = 5002237760 / 13
LCM(70720,70733) = 384787520

Least Common Multiple (LCM) of 70720 and 70733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70720 and 70733. First we will calculate the prime factors of 70720 and 70733.

Prime Factorization of 70720

Prime Factorization of 70733

Now multiplying the highest exponent prime factors to calculate the LCM of 70720 and 70733.

LCM(70720,70733) = 2⁶ × 5¹ × 13¹ × 17¹ × 5441¹
LCM(70720,70733) = 384787520