What is the Least Common Multiple of 39340 and 39347?

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 39340 and 39347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39340 and 39347, than apply into the LCM equation.

GCF(39340,39347) = 7
LCM(39340,39347) = ( 39340 × 39347) / 7
LCM(39340,39347) = 1547910980 / 7
LCM(39340,39347) = 221130140

Least Common Multiple (LCM) of 39340 and 39347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39340 and 39347. First we will calculate the prime factors of 39340 and 39347.

Prime Factorization of 39340

Prime Factorization of 39347

Now multiplying the highest exponent prime factors to calculate the LCM of 39340 and 39347.

LCM(39340,39347) = 2² × 5¹ × 7² × 281¹ × 11¹ × 73¹
LCM(39340,39347) = 221130140