What is the Least Common Multiple of 8420 and 8438?

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 8438 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 8438, than apply into the LCM equation.

GCF(8420,8438) = 2
LCM(8420,8438) = ( 8420 × 8438) / 2
LCM(8420,8438) = 71047960 / 2
LCM(8420,8438) = 35523980

Least Common Multiple (LCM) of 8420 and 8438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8420 and 8438. First we will calculate the prime factors of 8420 and 8438.

Prime Factorization of 8420

Prime Factorization of 8438

Now multiplying the highest exponent prime factors to calculate the LCM of 8420 and 8438.

LCM(8420,8438) = 2² × 5¹ × 421¹ × 4219¹
LCM(8420,8438) = 35523980