What is the Least Common Multiple of 56140 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 56140 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 56140 and 56149, than apply into the LCM equation.

GCF(56140,56149) = 1
LCM(56140,56149) = ( 56140 × 56149) / 1
LCM(56140,56149) = 3152204860 / 1
LCM(56140,56149) = 3152204860

Least Common Multiple (LCM) of 56140 and 56149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56140 and 56149. First we will calculate the prime factors of 56140 and 56149.

Prime Factorization of 56140

Prime Factorization of 56149

Now multiplying the highest exponent prime factors to calculate the LCM of 56140 and 56149.

LCM(56140,56149) = 2² × 5¹ × 7¹ × 401¹ × 56149¹
LCM(56140,56149) = 3152204860