What is the Least Common Multiple of 20730 and 20739?

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 20730 and 20739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20730 and 20739, than apply into the LCM equation.

GCF(20730,20739) = 3
LCM(20730,20739) = ( 20730 × 20739) / 3
LCM(20730,20739) = 429919470 / 3
LCM(20730,20739) = 143306490

Least Common Multiple (LCM) of 20730 and 20739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20730 and 20739. First we will calculate the prime factors of 20730 and 20739.

Prime Factorization of 20730

Prime Factorization of 20739

Now multiplying the highest exponent prime factors to calculate the LCM of 20730 and 20739.

LCM(20730,20739) = 2¹ × 3¹ × 5¹ × 691¹ × 31¹ × 223¹
LCM(20730,20739) = 143306490