What is the Least Common Multiple of 3489 and 3499?

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 3489 and 3499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3489 and 3499, than apply into the LCM equation.

GCF(3489,3499) = 1
LCM(3489,3499) = ( 3489 × 3499) / 1
LCM(3489,3499) = 12208011 / 1
LCM(3489,3499) = 12208011

Least Common Multiple (LCM) of 3489 and 3499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3489 and 3499. First we will calculate the prime factors of 3489 and 3499.

Prime Factorization of 3489

Prime Factorization of 3499

Now multiplying the highest exponent prime factors to calculate the LCM of 3489 and 3499.

LCM(3489,3499) = 3¹ × 1163¹ × 3499¹
LCM(3489,3499) = 12208011