What is the Least Common Multiple of 29532 and 29550?

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 29532 and 29550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29532 and 29550, than apply into the LCM equation.

GCF(29532,29550) = 6
LCM(29532,29550) = ( 29532 × 29550) / 6
LCM(29532,29550) = 872670600 / 6
LCM(29532,29550) = 145445100

Least Common Multiple (LCM) of 29532 and 29550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29532 and 29550. First we will calculate the prime factors of 29532 and 29550.

Prime Factorization of 29532

Prime Factorization of 29550

Now multiplying the highest exponent prime factors to calculate the LCM of 29532 and 29550.

LCM(29532,29550) = 2² × 3¹ × 23¹ × 107¹ × 5² × 197¹
LCM(29532,29550) = 145445100