What is the Least Common Multiple of 40528 and 40532?

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 40528 and 40532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40528 and 40532, than apply into the LCM equation.

GCF(40528,40532) = 4
LCM(40528,40532) = ( 40528 × 40532) / 4
LCM(40528,40532) = 1642680896 / 4
LCM(40528,40532) = 410670224

Least Common Multiple (LCM) of 40528 and 40532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40528 and 40532. First we will calculate the prime factors of 40528 and 40532.

Prime Factorization of 40528

Prime Factorization of 40532

Now multiplying the highest exponent prime factors to calculate the LCM of 40528 and 40532.

LCM(40528,40532) = 2⁴ × 17¹ × 149¹ × 10133¹
LCM(40528,40532) = 410670224