What is the Least Common Multiple of 29700 and 29705?

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 29700 and 29705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29700 and 29705, than apply into the LCM equation.

GCF(29700,29705) = 5
LCM(29700,29705) = ( 29700 × 29705) / 5
LCM(29700,29705) = 882238500 / 5
LCM(29700,29705) = 176447700

Least Common Multiple (LCM) of 29700 and 29705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29700 and 29705. First we will calculate the prime factors of 29700 and 29705.

Prime Factorization of 29700

Prime Factorization of 29705

Now multiplying the highest exponent prime factors to calculate the LCM of 29700 and 29705.

LCM(29700,29705) = 2² × 3³ × 5² × 11¹ × 13¹ × 457¹
LCM(29700,29705) = 176447700