What is the Least Common Multiple of 8438 and 8458?

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 8438 and 8458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8438 and 8458, than apply into the LCM equation.

GCF(8438,8458) = 2
LCM(8438,8458) = ( 8438 × 8458) / 2
LCM(8438,8458) = 71368604 / 2
LCM(8438,8458) = 35684302

Least Common Multiple (LCM) of 8438 and 8458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8438 and 8458. First we will calculate the prime factors of 8438 and 8458.

Prime Factorization of 8438

Prime Factorization of 8458

Now multiplying the highest exponent prime factors to calculate the LCM of 8438 and 8458.

LCM(8438,8458) = 2¹ × 4219¹ × 4229¹
LCM(8438,8458) = 35684302