What is the Least Common Multiple of 20654 and 20662?

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 20654 and 20662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20654 and 20662, than apply into the LCM equation.

GCF(20654,20662) = 2
LCM(20654,20662) = ( 20654 × 20662) / 2
LCM(20654,20662) = 426752948 / 2
LCM(20654,20662) = 213376474

Least Common Multiple (LCM) of 20654 and 20662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20654 and 20662. First we will calculate the prime factors of 20654 and 20662.

Prime Factorization of 20654

Prime Factorization of 20662

Now multiplying the highest exponent prime factors to calculate the LCM of 20654 and 20662.

LCM(20654,20662) = 2¹ × 23¹ × 449¹ × 10331¹
LCM(20654,20662) = 213376474