What is the Least Common Multiple of 56870 and 56884?

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 56870 and 56884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56870 and 56884, than apply into the LCM equation.

GCF(56870,56884) = 2
LCM(56870,56884) = ( 56870 × 56884) / 2
LCM(56870,56884) = 3234993080 / 2
LCM(56870,56884) = 1617496540

Least Common Multiple (LCM) of 56870 and 56884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56870 and 56884. First we will calculate the prime factors of 56870 and 56884.

Prime Factorization of 56870

Prime Factorization of 56884

Now multiplying the highest exponent prime factors to calculate the LCM of 56870 and 56884.

LCM(56870,56884) = 2² × 5¹ × 11² × 47¹ × 14221¹
LCM(56870,56884) = 1617496540