What is the Least Common Multiple of 35490 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 35490 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 35490 and 35496, than apply into the LCM equation.

GCF(35490,35496) = 6
LCM(35490,35496) = ( 35490 × 35496) / 6
LCM(35490,35496) = 1259753040 / 6
LCM(35490,35496) = 209958840

Least Common Multiple (LCM) of 35490 and 35496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35490 and 35496. First we will calculate the prime factors of 35490 and 35496.

Prime Factorization of 35490

Prime Factorization of 35496

Now multiplying the highest exponent prime factors to calculate the LCM of 35490 and 35496.

LCM(35490,35496) = 2³ × 3² × 5¹ × 7¹ × 13² × 17¹ × 29¹
LCM(35490,35496) = 209958840