What is the Least Common Multiple of 29648 and 29665?

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 29648 and 29665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29648 and 29665, than apply into the LCM equation.

GCF(29648,29665) = 17
LCM(29648,29665) = ( 29648 × 29665) / 17
LCM(29648,29665) = 879507920 / 17
LCM(29648,29665) = 51735760

Least Common Multiple (LCM) of 29648 and 29665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29648 and 29665. First we will calculate the prime factors of 29648 and 29665.

Prime Factorization of 29648

Prime Factorization of 29665

Now multiplying the highest exponent prime factors to calculate the LCM of 29648 and 29665.

LCM(29648,29665) = 2⁴ × 17¹ × 109¹ × 5¹ × 349¹
LCM(29648,29665) = 51735760