What is the Least Common Multiple of 29248 and 29262?

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 29248 and 29262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29248 and 29262, than apply into the LCM equation.

GCF(29248,29262) = 2
LCM(29248,29262) = ( 29248 × 29262) / 2
LCM(29248,29262) = 855854976 / 2
LCM(29248,29262) = 427927488

Least Common Multiple (LCM) of 29248 and 29262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29248 and 29262. First we will calculate the prime factors of 29248 and 29262.

Prime Factorization of 29248

Prime Factorization of 29262

Now multiplying the highest exponent prime factors to calculate the LCM of 29248 and 29262.

LCM(29248,29262) = 2⁶ × 457¹ × 3¹ × 4877¹
LCM(29248,29262) = 427927488