What is the Least Common Multiple of 3488 and 3498?

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 3488 and 3498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3488 and 3498, than apply into the LCM equation.

GCF(3488,3498) = 2
LCM(3488,3498) = ( 3488 × 3498) / 2
LCM(3488,3498) = 12201024 / 2
LCM(3488,3498) = 6100512

Least Common Multiple (LCM) of 3488 and 3498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3488 and 3498. First we will calculate the prime factors of 3488 and 3498.

Prime Factorization of 3488

Prime Factorization of 3498

Now multiplying the highest exponent prime factors to calculate the LCM of 3488 and 3498.

LCM(3488,3498) = 2⁵ × 109¹ × 3¹ × 11¹ × 53¹
LCM(3488,3498) = 6100512