What is the Least Common Multiple of 32414 and 32434?

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 32414 and 32434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32414 and 32434, than apply into the LCM equation.

GCF(32414,32434) = 2
LCM(32414,32434) = ( 32414 × 32434) / 2
LCM(32414,32434) = 1051315676 / 2
LCM(32414,32434) = 525657838

Least Common Multiple (LCM) of 32414 and 32434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32414 and 32434. First we will calculate the prime factors of 32414 and 32434.

Prime Factorization of 32414

Prime Factorization of 32434

Now multiplying the highest exponent prime factors to calculate the LCM of 32414 and 32434.

LCM(32414,32434) = 2¹ × 19¹ × 853¹ × 16217¹
LCM(32414,32434) = 525657838