What is the Least Common Multiple of 34528 and 34536?

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 34536 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 34536, than apply into the LCM equation.

GCF(34528,34536) = 8
LCM(34528,34536) = ( 34528 × 34536) / 8
LCM(34528,34536) = 1192459008 / 8
LCM(34528,34536) = 149057376

Least Common Multiple (LCM) of 34528 and 34536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34528 and 34536. First we will calculate the prime factors of 34528 and 34536.

Prime Factorization of 34528

Prime Factorization of 34536

Now multiplying the highest exponent prime factors to calculate the LCM of 34528 and 34536.

LCM(34528,34536) = 2⁵ × 13¹ × 83¹ × 3¹ × 1439¹
LCM(34528,34536) = 149057376