What is the Least Common Multiple of 29778 and 29787?

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 29778 and 29787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29778 and 29787, than apply into the LCM equation.

GCF(29778,29787) = 3
LCM(29778,29787) = ( 29778 × 29787) / 3
LCM(29778,29787) = 886997286 / 3
LCM(29778,29787) = 295665762

Least Common Multiple (LCM) of 29778 and 29787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29778 and 29787. First we will calculate the prime factors of 29778 and 29787.

Prime Factorization of 29778

Prime Factorization of 29787

Now multiplying the highest exponent prime factors to calculate the LCM of 29778 and 29787.

LCM(29778,29787) = 2¹ × 3¹ × 7¹ × 709¹ × 9929¹
LCM(29778,29787) = 295665762