What is the Least Common Multiple of 29284 and 29302?

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 29284 and 29302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29284 and 29302, than apply into the LCM equation.

GCF(29284,29302) = 2
LCM(29284,29302) = ( 29284 × 29302) / 2
LCM(29284,29302) = 858079768 / 2
LCM(29284,29302) = 429039884

Least Common Multiple (LCM) of 29284 and 29302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29284 and 29302. First we will calculate the prime factors of 29284 and 29302.

Prime Factorization of 29284

Prime Factorization of 29302

Now multiplying the highest exponent prime factors to calculate the LCM of 29284 and 29302.

LCM(29284,29302) = 2² × 7321¹ × 7² × 13¹ × 23¹
LCM(29284,29302) = 429039884