What is the Least Common Multiple of 38638 and 38645?

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 38638 and 38645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38638 and 38645, than apply into the LCM equation.

GCF(38638,38645) = 1
LCM(38638,38645) = ( 38638 × 38645) / 1
LCM(38638,38645) = 1493165510 / 1
LCM(38638,38645) = 1493165510

Least Common Multiple (LCM) of 38638 and 38645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38638 and 38645. First we will calculate the prime factors of 38638 and 38645.

Prime Factorization of 38638

Prime Factorization of 38645

Now multiplying the highest exponent prime factors to calculate the LCM of 38638 and 38645.

LCM(38638,38645) = 2¹ × 19319¹ × 5¹ × 59¹ × 131¹
LCM(38638,38645) = 1493165510