What is the Least Common Multiple of 21414 and 21434?

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 21414 and 21434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21414 and 21434, than apply into the LCM equation.

GCF(21414,21434) = 2
LCM(21414,21434) = ( 21414 × 21434) / 2
LCM(21414,21434) = 458987676 / 2
LCM(21414,21434) = 229493838

Least Common Multiple (LCM) of 21414 and 21434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21414 and 21434. First we will calculate the prime factors of 21414 and 21434.

Prime Factorization of 21414

Prime Factorization of 21434

Now multiplying the highest exponent prime factors to calculate the LCM of 21414 and 21434.

LCM(21414,21434) = 2¹ × 3¹ × 43¹ × 83¹ × 7¹ × 1531¹
LCM(21414,21434) = 229493838