What is the Least Common Multiple of 3480 and 3492?

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 3492 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 3492, than apply into the LCM equation.

GCF(3480,3492) = 12
LCM(3480,3492) = ( 3480 × 3492) / 12
LCM(3480,3492) = 12152160 / 12
LCM(3480,3492) = 1012680

Least Common Multiple (LCM) of 3480 and 3492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3480 and 3492. First we will calculate the prime factors of 3480 and 3492.

Prime Factorization of 3480

Prime Factorization of 3492

Now multiplying the highest exponent prime factors to calculate the LCM of 3480 and 3492.

LCM(3480,3492) = 2³ × 3² × 5¹ × 29¹ × 97¹
LCM(3480,3492) = 1012680