What is the Least Common Multiple of 35484 and 35502?

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 35484 and 35502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35484 and 35502, than apply into the LCM equation.

GCF(35484,35502) = 6
LCM(35484,35502) = ( 35484 × 35502) / 6
LCM(35484,35502) = 1259752968 / 6
LCM(35484,35502) = 209958828

Least Common Multiple (LCM) of 35484 and 35502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35484 and 35502. First we will calculate the prime factors of 35484 and 35502.

Prime Factorization of 35484

Prime Factorization of 35502

Now multiplying the highest exponent prime factors to calculate the LCM of 35484 and 35502.

LCM(35484,35502) = 2² × 3¹ × 2957¹ × 61¹ × 97¹
LCM(35484,35502) = 209958828