What is the Least Common Multiple of 39145 and 39162?

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 39145 and 39162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39145 and 39162, than apply into the LCM equation.

GCF(39145,39162) = 1
LCM(39145,39162) = ( 39145 × 39162) / 1
LCM(39145,39162) = 1532996490 / 1
LCM(39145,39162) = 1532996490

Least Common Multiple (LCM) of 39145 and 39162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39145 and 39162. First we will calculate the prime factors of 39145 and 39162.

Prime Factorization of 39145

Prime Factorization of 39162

Now multiplying the highest exponent prime factors to calculate the LCM of 39145 and 39162.

LCM(39145,39162) = 5¹ × 7829¹ × 2¹ × 3¹ × 61¹ × 107¹
LCM(39145,39162) = 1532996490