What is the Least Common Multiple of 21934 and 21954?

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 21934 and 21954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21934 and 21954, than apply into the LCM equation.

GCF(21934,21954) = 2
LCM(21934,21954) = ( 21934 × 21954) / 2
LCM(21934,21954) = 481539036 / 2
LCM(21934,21954) = 240769518

Least Common Multiple (LCM) of 21934 and 21954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21934 and 21954. First we will calculate the prime factors of 21934 and 21954.

Prime Factorization of 21934

Prime Factorization of 21954

Now multiplying the highest exponent prime factors to calculate the LCM of 21934 and 21954.

LCM(21934,21954) = 2¹ × 11¹ × 997¹ × 3¹ × 3659¹
LCM(21934,21954) = 240769518