What is the Least Common Multiple of 34772 and 34787?

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 34772 and 34787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34772 and 34787, than apply into the LCM equation.

GCF(34772,34787) = 1
LCM(34772,34787) = ( 34772 × 34787) / 1
LCM(34772,34787) = 1209613564 / 1
LCM(34772,34787) = 1209613564

Least Common Multiple (LCM) of 34772 and 34787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34772 and 34787. First we will calculate the prime factors of 34772 and 34787.

Prime Factorization of 34772

Prime Factorization of 34787

Now multiplying the highest exponent prime factors to calculate the LCM of 34772 and 34787.

LCM(34772,34787) = 2² × 8693¹ × 43¹ × 809¹
LCM(34772,34787) = 1209613564