What is the Least Common Multiple of 29649 and 29661?

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 29649 and 29661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29649 and 29661, than apply into the LCM equation.

GCF(29649,29661) = 3
LCM(29649,29661) = ( 29649 × 29661) / 3
LCM(29649,29661) = 879418989 / 3
LCM(29649,29661) = 293139663

Least Common Multiple (LCM) of 29649 and 29661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29649 and 29661. First we will calculate the prime factors of 29649 and 29661.

Prime Factorization of 29649

Prime Factorization of 29661

Now multiplying the highest exponent prime factors to calculate the LCM of 29649 and 29661.

LCM(29649,29661) = 3¹ × 9883¹ × 9887¹
LCM(29649,29661) = 293139663