What is the Least Common Multiple of 20730 and 20746?

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 20746 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 20746, than apply into the LCM equation.

GCF(20730,20746) = 2
LCM(20730,20746) = ( 20730 × 20746) / 2
LCM(20730,20746) = 430064580 / 2
LCM(20730,20746) = 215032290

Least Common Multiple (LCM) of 20730 and 20746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20730 and 20746. First we will calculate the prime factors of 20730 and 20746.

Prime Factorization of 20730

Prime Factorization of 20746

Now multiplying the highest exponent prime factors to calculate the LCM of 20730 and 20746.

LCM(20730,20746) = 2¹ × 3¹ × 5¹ × 691¹ × 11¹ × 23¹ × 41¹
LCM(20730,20746) = 215032290