GCF and LCM Calculator Logo

What is the Least Common Multiple of 41435 and 41455?

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 41435 and 41455 is 343537585.

LCM(41435,41455) = 343537585

LCM Calculator and
and

Least Common Multiple of 41435 and 41455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41435 and 41455, than apply into the LCM equation.

GCF(41435,41455) = 5
LCM(41435,41455) = ( 41435 × 41455) / 5
LCM(41435,41455) = 1717687925 / 5
LCM(41435,41455) = 343537585

Least Common Multiple (LCM) of 41435 and 41455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41435 and 41455. First we will calculate the prime factors of 41435 and 41455.

Prime Factorization of 41435

Prime factors of 41435 are 5, 8287. Prime factorization of 41435 in exponential form is:

41435 = 51 × 82871

Prime Factorization of 41455

Prime factors of 41455 are 5, 8291. Prime factorization of 41455 in exponential form is:

41455 = 51 × 82911

Now multiplying the highest exponent prime factors to calculate the LCM of 41435 and 41455.

LCM(41435,41455) = 51 × 82871 × 82911
LCM(41435,41455) = 343537585