GCF and LCM Calculator Logo

What is the Least Common Multiple of 41559 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 (LCM) of 41559 and 41567 is 1727482953.

LCM(41559,41567) = 1727482953

LCM Calculator and
and

Least Common Multiple of 41559 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 41559 and 41567, than apply into the LCM equation.

GCF(41559,41567) = 1
LCM(41559,41567) = ( 41559 × 41567) / 1
LCM(41559,41567) = 1727482953 / 1
LCM(41559,41567) = 1727482953

Least Common Multiple (LCM) of 41559 and 41567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41559 and 41567. First we will calculate the prime factors of 41559 and 41567.

Prime Factorization of 41559

Prime factors of 41559 are 3, 7, 1979. Prime factorization of 41559 in exponential form is:

41559 = 31 × 71 × 19791

Prime Factorization of 41567

Prime factors of 41567 are 197, 211. Prime factorization of 41567 in exponential form is:

41567 = 1971 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 41559 and 41567.

LCM(41559,41567) = 31 × 71 × 19791 × 1971 × 2111
LCM(41559,41567) = 1727482953