What is the Least Common Multiple of 38345 and 38355?

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 38345 and 38355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38345 and 38355, than apply into the LCM equation.

GCF(38345,38355) = 5
LCM(38345,38355) = ( 38345 × 38355) / 5
LCM(38345,38355) = 1470722475 / 5
LCM(38345,38355) = 294144495

Least Common Multiple (LCM) of 38345 and 38355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38345 and 38355. First we will calculate the prime factors of 38345 and 38355.

Prime Factorization of 38345

Prime Factorization of 38355

Now multiplying the highest exponent prime factors to calculate the LCM of 38345 and 38355.

LCM(38345,38355) = 5¹ × 7669¹ × 3¹ × 2557¹
LCM(38345,38355) = 294144495