What is the Least Common Multiple of 20634 and 20654?

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 20634 and 20654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20634 and 20654, than apply into the LCM equation.

GCF(20634,20654) = 2
LCM(20634,20654) = ( 20634 × 20654) / 2
LCM(20634,20654) = 426174636 / 2
LCM(20634,20654) = 213087318

Least Common Multiple (LCM) of 20634 and 20654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20634 and 20654. First we will calculate the prime factors of 20634 and 20654.

Prime Factorization of 20634

Prime Factorization of 20654

Now multiplying the highest exponent prime factors to calculate the LCM of 20634 and 20654.

LCM(20634,20654) = 2¹ × 3¹ × 19¹ × 181¹ × 23¹ × 449¹
LCM(20634,20654) = 213087318