What is the Least Common Multiple of 35485 and 35496?

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 35485 and 35496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35485 and 35496, than apply into the LCM equation.

GCF(35485,35496) = 1
LCM(35485,35496) = ( 35485 × 35496) / 1
LCM(35485,35496) = 1259575560 / 1
LCM(35485,35496) = 1259575560

Least Common Multiple (LCM) of 35485 and 35496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35485 and 35496. First we will calculate the prime factors of 35485 and 35496.

Prime Factorization of 35485

Prime Factorization of 35496

Now multiplying the highest exponent prime factors to calculate the LCM of 35485 and 35496.

LCM(35485,35496) = 5¹ × 47¹ × 151¹ × 2³ × 3² × 17¹ × 29¹
LCM(35485,35496) = 1259575560