What is the Least Common Multiple of 3480 and 3496?

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 3496 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 3496, than apply into the LCM equation.

GCF(3480,3496) = 8
LCM(3480,3496) = ( 3480 × 3496) / 8
LCM(3480,3496) = 12166080 / 8
LCM(3480,3496) = 1520760

Least Common Multiple (LCM) of 3480 and 3496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3480 and 3496. First we will calculate the prime factors of 3480 and 3496.

Prime Factorization of 3480

Prime Factorization of 3496

Now multiplying the highest exponent prime factors to calculate the LCM of 3480 and 3496.

LCM(3480,3496) = 2³ × 3¹ × 5¹ × 29¹ × 19¹ × 23¹
LCM(3480,3496) = 1520760