What is the Least Common Multiple of 56658 and 56673?

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 56658 and 56673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56658 and 56673, than apply into the LCM equation.

GCF(56658,56673) = 3
LCM(56658,56673) = ( 56658 × 56673) / 3
LCM(56658,56673) = 3210978834 / 3
LCM(56658,56673) = 1070326278

Least Common Multiple (LCM) of 56658 and 56673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56658 and 56673. First we will calculate the prime factors of 56658 and 56673.

Prime Factorization of 56658

Prime Factorization of 56673

Now multiplying the highest exponent prime factors to calculate the LCM of 56658 and 56673.

LCM(56658,56673) = 2¹ × 3³ × 7¹ × 19¹ × 71¹ × 2099¹
LCM(56658,56673) = 1070326278