What is the Least Common Multiple of 56730 and 56747?

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 56747 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 56747, than apply into the LCM equation.

GCF(56730,56747) = 1
LCM(56730,56747) = ( 56730 × 56747) / 1
LCM(56730,56747) = 3219257310 / 1
LCM(56730,56747) = 3219257310

Least Common Multiple (LCM) of 56730 and 56747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56730 and 56747. First we will calculate the prime factors of 56730 and 56747.

Prime Factorization of 56730

Prime Factorization of 56747

Now multiplying the highest exponent prime factors to calculate the LCM of 56730 and 56747.

LCM(56730,56747) = 2¹ × 3¹ × 5¹ × 31¹ × 61¹ × 56747¹
LCM(56730,56747) = 3219257310