What is the Least Common Multiple of 29475 and 29480?

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 29475 and 29480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29475 and 29480, than apply into the LCM equation.

GCF(29475,29480) = 5
LCM(29475,29480) = ( 29475 × 29480) / 5
LCM(29475,29480) = 868923000 / 5
LCM(29475,29480) = 173784600

Least Common Multiple (LCM) of 29475 and 29480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29475 and 29480. First we will calculate the prime factors of 29475 and 29480.

Prime Factorization of 29475

Prime Factorization of 29480

Now multiplying the highest exponent prime factors to calculate the LCM of 29475 and 29480.

LCM(29475,29480) = 3² × 5² × 131¹ × 2³ × 11¹ × 67¹
LCM(29475,29480) = 173784600