What is the Least Common Multiple of 41202 and 41207?

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 41202 and 41207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41202 and 41207, than apply into the LCM equation.

GCF(41202,41207) = 1
LCM(41202,41207) = ( 41202 × 41207) / 1
LCM(41202,41207) = 1697810814 / 1
LCM(41202,41207) = 1697810814

Least Common Multiple (LCM) of 41202 and 41207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41202 and 41207. First we will calculate the prime factors of 41202 and 41207.

Prime Factorization of 41202

Prime Factorization of 41207

Now multiplying the highest exponent prime factors to calculate the LCM of 41202 and 41207.

LCM(41202,41207) = 2¹ × 3³ × 7¹ × 109¹ × 89¹ × 463¹
LCM(41202,41207) = 1697810814