What is the Least Common Multiple of 38978 and 38987?

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 38978 and 38987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38978 and 38987, than apply into the LCM equation.

GCF(38978,38987) = 1
LCM(38978,38987) = ( 38978 × 38987) / 1
LCM(38978,38987) = 1519635286 / 1
LCM(38978,38987) = 1519635286

Least Common Multiple (LCM) of 38978 and 38987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38978 and 38987. First we will calculate the prime factors of 38978 and 38987.

Prime Factorization of 38978

Prime Factorization of 38987

Now multiplying the highest exponent prime factors to calculate the LCM of 38978 and 38987.

LCM(38978,38987) = 2¹ × 19489¹ × 13¹ × 2999¹
LCM(38978,38987) = 1519635286