What is the Least Common Multiple of 56134 and 56149?

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 56134 and 56149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56134 and 56149, than apply into the LCM equation.

GCF(56134,56149) = 1
LCM(56134,56149) = ( 56134 × 56149) / 1
LCM(56134,56149) = 3151867966 / 1
LCM(56134,56149) = 3151867966

Least Common Multiple (LCM) of 56134 and 56149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56134 and 56149. First we will calculate the prime factors of 56134 and 56149.

Prime Factorization of 56134

Prime Factorization of 56149

Now multiplying the highest exponent prime factors to calculate the LCM of 56134 and 56149.

LCM(56134,56149) = 2¹ × 13¹ × 17¹ × 127¹ × 56149¹
LCM(56134,56149) = 3151867966