What is the Least Common Multiple of 59196 and 59205?

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 59196 and 59205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59196 and 59205, than apply into the LCM equation.

GCF(59196,59205) = 3
LCM(59196,59205) = ( 59196 × 59205) / 3
LCM(59196,59205) = 3504699180 / 3
LCM(59196,59205) = 1168233060

Least Common Multiple (LCM) of 59196 and 59205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59196 and 59205. First we will calculate the prime factors of 59196 and 59205.

Prime Factorization of 59196

Prime Factorization of 59205

Now multiplying the highest exponent prime factors to calculate the LCM of 59196 and 59205.

LCM(59196,59205) = 2² × 3¹ × 4933¹ × 5¹ × 3947¹
LCM(59196,59205) = 1168233060