What is the Least Common Multiple of 29490 and 29496?

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 29490 and 29496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29490 and 29496, than apply into the LCM equation.

GCF(29490,29496) = 6
LCM(29490,29496) = ( 29490 × 29496) / 6
LCM(29490,29496) = 869837040 / 6
LCM(29490,29496) = 144972840

Least Common Multiple (LCM) of 29490 and 29496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29490 and 29496. First we will calculate the prime factors of 29490 and 29496.

Prime Factorization of 29490

Prime Factorization of 29496

Now multiplying the highest exponent prime factors to calculate the LCM of 29490 and 29496.

LCM(29490,29496) = 2³ × 3¹ × 5¹ × 983¹ × 1229¹
LCM(29490,29496) = 144972840