What is the Least Common Multiple of 56892 and 56903?

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 56892 and 56903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56892 and 56903, than apply into the LCM equation.

GCF(56892,56903) = 11
LCM(56892,56903) = ( 56892 × 56903) / 11
LCM(56892,56903) = 3237325476 / 11
LCM(56892,56903) = 294302316

Least Common Multiple (LCM) of 56892 and 56903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56892 and 56903. First we will calculate the prime factors of 56892 and 56903.

Prime Factorization of 56892

Prime Factorization of 56903

Now multiplying the highest exponent prime factors to calculate the LCM of 56892 and 56903.

LCM(56892,56903) = 2² × 3¹ × 11¹ × 431¹ × 7¹ × 739¹
LCM(56892,56903) = 294302316