What is the Least Common Multiple of 39184 and 39202?

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 39184 and 39202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39184 and 39202, than apply into the LCM equation.

GCF(39184,39202) = 2
LCM(39184,39202) = ( 39184 × 39202) / 2
LCM(39184,39202) = 1536091168 / 2
LCM(39184,39202) = 768045584

Least Common Multiple (LCM) of 39184 and 39202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39184 and 39202. First we will calculate the prime factors of 39184 and 39202.

Prime Factorization of 39184

Prime Factorization of 39202

Now multiplying the highest exponent prime factors to calculate the LCM of 39184 and 39202.

LCM(39184,39202) = 2⁴ × 31¹ × 79¹ × 17¹ × 1153¹
LCM(39184,39202) = 768045584