What is the Least Common Multiple of 21650 and 21668?

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 21650 and 21668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21650 and 21668, than apply into the LCM equation.

GCF(21650,21668) = 2
LCM(21650,21668) = ( 21650 × 21668) / 2
LCM(21650,21668) = 469112200 / 2
LCM(21650,21668) = 234556100

Least Common Multiple (LCM) of 21650 and 21668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21650 and 21668. First we will calculate the prime factors of 21650 and 21668.

Prime Factorization of 21650

Prime Factorization of 21668

Now multiplying the highest exponent prime factors to calculate the LCM of 21650 and 21668.

LCM(21650,21668) = 2² × 5² × 433¹ × 5417¹
LCM(21650,21668) = 234556100