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What is the Least Common Multiple of 41995 and 42007?

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 41995 and 42007 is 1764083965.

LCM(41995,42007) = 1764083965

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Least Common Multiple of 41995 and 42007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41995 and 42007, than apply into the LCM equation.

GCF(41995,42007) = 1
LCM(41995,42007) = ( 41995 × 42007) / 1
LCM(41995,42007) = 1764083965 / 1
LCM(41995,42007) = 1764083965

Least Common Multiple (LCM) of 41995 and 42007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41995 and 42007. First we will calculate the prime factors of 41995 and 42007.

Prime Factorization of 41995

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

41995 = 51 × 371 × 2271

Prime Factorization of 42007

Prime factors of 42007 are 7, 17, 353. Prime factorization of 42007 in exponential form is:

42007 = 71 × 171 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 41995 and 42007.

LCM(41995,42007) = 51 × 371 × 2271 × 71 × 171 × 3531
LCM(41995,42007) = 1764083965