What is the Least Common Multiple of 3480 and 3493?

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 3480 and 3493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3480 and 3493, than apply into the LCM equation.

GCF(3480,3493) = 1
LCM(3480,3493) = ( 3480 × 3493) / 1
LCM(3480,3493) = 12155640 / 1
LCM(3480,3493) = 12155640

Least Common Multiple (LCM) of 3480 and 3493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3480 and 3493. First we will calculate the prime factors of 3480 and 3493.

Prime Factorization of 3480

Prime Factorization of 3493

Now multiplying the highest exponent prime factors to calculate the LCM of 3480 and 3493.

LCM(3480,3493) = 2³ × 3¹ × 5¹ × 29¹ × 7¹ × 499¹
LCM(3480,3493) = 12155640