What is the Least Common Multiple of 39198 and 39205?

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 39198 and 39205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39198 and 39205, than apply into the LCM equation.

GCF(39198,39205) = 1
LCM(39198,39205) = ( 39198 × 39205) / 1
LCM(39198,39205) = 1536757590 / 1
LCM(39198,39205) = 1536757590

Least Common Multiple (LCM) of 39198 and 39205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39198 and 39205. First we will calculate the prime factors of 39198 and 39205.

Prime Factorization of 39198

Prime Factorization of 39205

Now multiplying the highest exponent prime factors to calculate the LCM of 39198 and 39205.

LCM(39198,39205) = 2¹ × 3¹ × 47¹ × 139¹ × 5¹ × 7841¹
LCM(39198,39205) = 1536757590