What is the Least Common Multiple of 8420 and 8434?

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 8420 and 8434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8420 and 8434, than apply into the LCM equation.

GCF(8420,8434) = 2
LCM(8420,8434) = ( 8420 × 8434) / 2
LCM(8420,8434) = 71014280 / 2
LCM(8420,8434) = 35507140

Least Common Multiple (LCM) of 8420 and 8434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8420 and 8434. First we will calculate the prime factors of 8420 and 8434.

Prime Factorization of 8420

Prime Factorization of 8434

Now multiplying the highest exponent prime factors to calculate the LCM of 8420 and 8434.

LCM(8420,8434) = 2² × 5¹ × 421¹ × 4217¹
LCM(8420,8434) = 35507140