What is the Least Common Multiple of 3480 and 3494?

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 3494 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 3494, than apply into the LCM equation.

GCF(3480,3494) = 2
LCM(3480,3494) = ( 3480 × 3494) / 2
LCM(3480,3494) = 12159120 / 2
LCM(3480,3494) = 6079560

Least Common Multiple (LCM) of 3480 and 3494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3480 and 3494. First we will calculate the prime factors of 3480 and 3494.

Prime Factorization of 3480

Prime Factorization of 3494

Now multiplying the highest exponent prime factors to calculate the LCM of 3480 and 3494.

LCM(3480,3494) = 2³ × 3¹ × 5¹ × 29¹ × 1747¹
LCM(3480,3494) = 6079560