What is the Least Common Multiple of 3136 and 3145?

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 3136 and 3145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3136 and 3145, than apply into the LCM equation.

GCF(3136,3145) = 1
LCM(3136,3145) = ( 3136 × 3145) / 1
LCM(3136,3145) = 9862720 / 1
LCM(3136,3145) = 9862720

Least Common Multiple (LCM) of 3136 and 3145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3136 and 3145. First we will calculate the prime factors of 3136 and 3145.

Prime Factorization of 3136

Prime Factorization of 3145

Now multiplying the highest exponent prime factors to calculate the LCM of 3136 and 3145.

LCM(3136,3145) = 2⁶ × 7² × 5¹ × 17¹ × 37¹
LCM(3136,3145) = 9862720