GCF and LCM Calculator Logo

What is the Least Common Multiple of 41987 and 41995?

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 41987 and 41995 is 1763244065.

LCM(41987,41995) = 1763244065

LCM Calculator and
and

Least Common Multiple of 41987 and 41995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41987 and 41995, than apply into the LCM equation.

GCF(41987,41995) = 1
LCM(41987,41995) = ( 41987 × 41995) / 1
LCM(41987,41995) = 1763244065 / 1
LCM(41987,41995) = 1763244065

Least Common Multiple (LCM) of 41987 and 41995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41987 and 41995. First we will calculate the prime factors of 41987 and 41995.

Prime Factorization of 41987

Prime factors of 41987 are 11, 347. Prime factorization of 41987 in exponential form is:

41987 = 112 × 3471

Prime Factorization of 41995

Prime factors of 41995 are 5, 37, 227. Prime factorization of 41995 in exponential form is:

41995 = 51 × 371 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 41987 and 41995.

LCM(41987,41995) = 112 × 3471 × 51 × 371 × 2271
LCM(41987,41995) = 1763244065