What is the Least Common Multiple of 65416 and 65434?

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 65416 and 65434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65416 and 65434, than apply into the LCM equation.

GCF(65416,65434) = 2
LCM(65416,65434) = ( 65416 × 65434) / 2
LCM(65416,65434) = 4280430544 / 2
LCM(65416,65434) = 2140215272

Least Common Multiple (LCM) of 65416 and 65434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65416 and 65434. First we will calculate the prime factors of 65416 and 65434.

Prime Factorization of 65416

Prime Factorization of 65434

Now multiplying the highest exponent prime factors to calculate the LCM of 65416 and 65434.

LCM(65416,65434) = 2³ × 13¹ × 17¹ × 37¹ × 32717¹
LCM(65416,65434) = 2140215272