What is the Least Common Multiple of 39205 and 39215?

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 39205 and 39215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39205 and 39215, than apply into the LCM equation.

GCF(39205,39215) = 5
LCM(39205,39215) = ( 39205 × 39215) / 5
LCM(39205,39215) = 1537424075 / 5
LCM(39205,39215) = 307484815

Least Common Multiple (LCM) of 39205 and 39215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39205 and 39215. First we will calculate the prime factors of 39205 and 39215.

Prime Factorization of 39205

Prime Factorization of 39215

Now multiplying the highest exponent prime factors to calculate the LCM of 39205 and 39215.

LCM(39205,39215) = 5¹ × 7841¹ × 11¹ × 23¹ × 31¹
LCM(39205,39215) = 307484815