What is the Least Common Multiple of 39370 and 39385?

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 39370 and 39385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39370 and 39385, than apply into the LCM equation.

GCF(39370,39385) = 5
LCM(39370,39385) = ( 39370 × 39385) / 5
LCM(39370,39385) = 1550587450 / 5
LCM(39370,39385) = 310117490

Least Common Multiple (LCM) of 39370 and 39385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39370 and 39385. First we will calculate the prime factors of 39370 and 39385.

Prime Factorization of 39370

Prime Factorization of 39385

Now multiplying the highest exponent prime factors to calculate the LCM of 39370 and 39385.

LCM(39370,39385) = 2¹ × 5¹ × 31¹ × 127¹ × 7877¹
LCM(39370,39385) = 310117490