What is the Least Common Multiple of 39978 and 39987?

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 39978 and 39987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39978 and 39987, than apply into the LCM equation.

GCF(39978,39987) = 9
LCM(39978,39987) = ( 39978 × 39987) / 9
LCM(39978,39987) = 1598600286 / 9
LCM(39978,39987) = 177622254

Least Common Multiple (LCM) of 39978 and 39987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39978 and 39987. First we will calculate the prime factors of 39978 and 39987.

Prime Factorization of 39978

Prime Factorization of 39987

Now multiplying the highest exponent prime factors to calculate the LCM of 39978 and 39987.

LCM(39978,39987) = 2¹ × 3³ × 2221¹ × 1481¹
LCM(39978,39987) = 177622254