What is the Least Common Multiple of 3490 and 3497?

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 3490 and 3497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3490 and 3497, than apply into the LCM equation.

GCF(3490,3497) = 1
LCM(3490,3497) = ( 3490 × 3497) / 1
LCM(3490,3497) = 12204530 / 1
LCM(3490,3497) = 12204530

Least Common Multiple (LCM) of 3490 and 3497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3490 and 3497. First we will calculate the prime factors of 3490 and 3497.

Prime Factorization of 3490

Prime Factorization of 3497

Now multiplying the highest exponent prime factors to calculate the LCM of 3490 and 3497.

LCM(3490,3497) = 2¹ × 5¹ × 349¹ × 13¹ × 269¹
LCM(3490,3497) = 12204530