What is the Least Common Multiple of 29758 and 29777?

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 29758 and 29777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29758 and 29777, than apply into the LCM equation.

GCF(29758,29777) = 1
LCM(29758,29777) = ( 29758 × 29777) / 1
LCM(29758,29777) = 886103966 / 1
LCM(29758,29777) = 886103966

Least Common Multiple (LCM) of 29758 and 29777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29758 and 29777. First we will calculate the prime factors of 29758 and 29777.

Prime Factorization of 29758

Prime Factorization of 29777

Now multiplying the highest exponent prime factors to calculate the LCM of 29758 and 29777.

LCM(29758,29777) = 2¹ × 14879¹ × 11¹ × 2707¹
LCM(29758,29777) = 886103966