What is the Least Common Multiple of 34528 and 34532?

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 34528 and 34532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34528 and 34532, than apply into the LCM equation.

GCF(34528,34532) = 4
LCM(34528,34532) = ( 34528 × 34532) / 4
LCM(34528,34532) = 1192320896 / 4
LCM(34528,34532) = 298080224

Least Common Multiple (LCM) of 34528 and 34532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34528 and 34532. First we will calculate the prime factors of 34528 and 34532.

Prime Factorization of 34528

Prime Factorization of 34532

Now multiplying the highest exponent prime factors to calculate the LCM of 34528 and 34532.

LCM(34528,34532) = 2⁵ × 13¹ × 83¹ × 89¹ × 97¹
LCM(34528,34532) = 298080224