What is the Least Common Multiple of 29648 and 29668?

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 29668 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 29668, than apply into the LCM equation.

GCF(29648,29668) = 4
LCM(29648,29668) = ( 29648 × 29668) / 4
LCM(29648,29668) = 879596864 / 4
LCM(29648,29668) = 219899216

Least Common Multiple (LCM) of 29648 and 29668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29648 and 29668. First we will calculate the prime factors of 29648 and 29668.

Prime Factorization of 29648

Prime Factorization of 29668

Now multiplying the highest exponent prime factors to calculate the LCM of 29648 and 29668.

LCM(29648,29668) = 2⁴ × 17¹ × 109¹ × 7417¹
LCM(29648,29668) = 219899216