What is the Least Common Multiple of 70533 and 70553?

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 70533 and 70553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70533 and 70553, than apply into the LCM equation.

GCF(70533,70553) = 1
LCM(70533,70553) = ( 70533 × 70553) / 1
LCM(70533,70553) = 4976314749 / 1
LCM(70533,70553) = 4976314749

Least Common Multiple (LCM) of 70533 and 70553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70533 and 70553. First we will calculate the prime factors of 70533 and 70553.

Prime Factorization of 70533

Prime Factorization of 70553

Now multiplying the highest exponent prime factors to calculate the LCM of 70533 and 70553.

LCM(70533,70553) = 3² × 17¹ × 461¹ × 7¹ × 10079¹
LCM(70533,70553) = 4976314749