What is the Least Common Multiple of 29634 and 29648?

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 29634 and 29648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29634 and 29648, than apply into the LCM equation.

GCF(29634,29648) = 2
LCM(29634,29648) = ( 29634 × 29648) / 2
LCM(29634,29648) = 878588832 / 2
LCM(29634,29648) = 439294416

Least Common Multiple (LCM) of 29634 and 29648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29634 and 29648. First we will calculate the prime factors of 29634 and 29648.

Prime Factorization of 29634

Prime Factorization of 29648

Now multiplying the highest exponent prime factors to calculate the LCM of 29634 and 29648.

LCM(29634,29648) = 2⁴ × 3¹ × 11¹ × 449¹ × 17¹ × 109¹
LCM(29634,29648) = 439294416