What is the Least Common Multiple of 20510 and 20523?

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 20510 and 20523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20510 and 20523, than apply into the LCM equation.

GCF(20510,20523) = 1
LCM(20510,20523) = ( 20510 × 20523) / 1
LCM(20510,20523) = 420926730 / 1
LCM(20510,20523) = 420926730

Least Common Multiple (LCM) of 20510 and 20523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20510 and 20523. First we will calculate the prime factors of 20510 and 20523.

Prime Factorization of 20510

Prime Factorization of 20523

Now multiplying the highest exponent prime factors to calculate the LCM of 20510 and 20523.

LCM(20510,20523) = 2¹ × 5¹ × 7¹ × 293¹ × 3¹ × 6841¹
LCM(20510,20523) = 420926730