What is the Least Common Multiple of 22049 and 22066?

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 22049 and 22066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22049 and 22066, than apply into the LCM equation.

GCF(22049,22066) = 17
LCM(22049,22066) = ( 22049 × 22066) / 17
LCM(22049,22066) = 486533234 / 17
LCM(22049,22066) = 28619602

Least Common Multiple (LCM) of 22049 and 22066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22049 and 22066. First we will calculate the prime factors of 22049 and 22066.

Prime Factorization of 22049

Prime Factorization of 22066

Now multiplying the highest exponent prime factors to calculate the LCM of 22049 and 22066.

LCM(22049,22066) = 17¹ × 1297¹ × 2¹ × 11¹ × 59¹
LCM(22049,22066) = 28619602