What is the Least Common Multiple of 41560 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 41560 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 41560 and 41567, than apply into the LCM equation.

GCF(41560,41567) = 1
LCM(41560,41567) = ( 41560 × 41567) / 1
LCM(41560,41567) = 1727524520 / 1
LCM(41560,41567) = 1727524520

Least Common Multiple (LCM) of 41560 and 41567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41560 and 41567. First we will calculate the prime factors of 41560 and 41567.

Prime Factorization of 41560

Prime Factorization of 41567

Now multiplying the highest exponent prime factors to calculate the LCM of 41560 and 41567.

LCM(41560,41567) = 2³ × 5¹ × 1039¹ × 197¹ × 211¹
LCM(41560,41567) = 1727524520