What is the Least Common Multiple of 56730 and 56745?

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 56730 and 56745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56730 and 56745, than apply into the LCM equation.

GCF(56730,56745) = 15
LCM(56730,56745) = ( 56730 × 56745) / 15
LCM(56730,56745) = 3219143850 / 15
LCM(56730,56745) = 214609590

Least Common Multiple (LCM) of 56730 and 56745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56730 and 56745. First we will calculate the prime factors of 56730 and 56745.

Prime Factorization of 56730

Prime Factorization of 56745

Now multiplying the highest exponent prime factors to calculate the LCM of 56730 and 56745.

LCM(56730,56745) = 2¹ × 3² × 5¹ × 31¹ × 61¹ × 13¹ × 97¹
LCM(56730,56745) = 214609590