What is the Least Common Multiple of 41195 and 41201?

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 41195 and 41201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41195 and 41201, than apply into the LCM equation.

GCF(41195,41201) = 1
LCM(41195,41201) = ( 41195 × 41201) / 1
LCM(41195,41201) = 1697275195 / 1
LCM(41195,41201) = 1697275195

Least Common Multiple (LCM) of 41195 and 41201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41195 and 41201. First we will calculate the prime factors of 41195 and 41201.

Prime Factorization of 41195

Prime Factorization of 41201

Now multiplying the highest exponent prime factors to calculate the LCM of 41195 and 41201.

LCM(41195,41201) = 5¹ × 7¹ × 11¹ × 107¹ × 41201¹
LCM(41195,41201) = 1697275195