What is the Least Common Multiple of 41552 and 41567?

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 41552 and 41567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41552 and 41567, than apply into the LCM equation.

GCF(41552,41567) = 1
LCM(41552,41567) = ( 41552 × 41567) / 1
LCM(41552,41567) = 1727191984 / 1
LCM(41552,41567) = 1727191984

Least Common Multiple (LCM) of 41552 and 41567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41552 and 41567. First we will calculate the prime factors of 41552 and 41567.

Prime Factorization of 41552

Prime Factorization of 41567

Now multiplying the highest exponent prime factors to calculate the LCM of 41552 and 41567.

LCM(41552,41567) = 2⁴ × 7² × 53¹ × 197¹ × 211¹
LCM(41552,41567) = 1727191984