What is the Least Common Multiple of 39298 and 39305?

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 39298 and 39305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39298 and 39305, than apply into the LCM equation.

GCF(39298,39305) = 7
LCM(39298,39305) = ( 39298 × 39305) / 7
LCM(39298,39305) = 1544607890 / 7
LCM(39298,39305) = 220658270

Least Common Multiple (LCM) of 39298 and 39305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39298 and 39305. First we will calculate the prime factors of 39298 and 39305.

Prime Factorization of 39298

Prime Factorization of 39305

Now multiplying the highest exponent prime factors to calculate the LCM of 39298 and 39305.

LCM(39298,39305) = 2¹ × 7² × 401¹ × 5¹ × 1123¹
LCM(39298,39305) = 220658270