What is the Least Common Multiple of 38920 and 38935?

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 38920 and 38935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38920 and 38935, than apply into the LCM equation.

GCF(38920,38935) = 5
LCM(38920,38935) = ( 38920 × 38935) / 5
LCM(38920,38935) = 1515350200 / 5
LCM(38920,38935) = 303070040

Least Common Multiple (LCM) of 38920 and 38935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38920 and 38935. First we will calculate the prime factors of 38920 and 38935.

Prime Factorization of 38920

Prime Factorization of 38935

Now multiplying the highest exponent prime factors to calculate the LCM of 38920 and 38935.

LCM(38920,38935) = 2³ × 5¹ × 7¹ × 139¹ × 13¹ × 599¹
LCM(38920,38935) = 303070040