What is the Least Common Multiple of 39849 and 39855?

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 39849 and 39855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39849 and 39855, than apply into the LCM equation.

GCF(39849,39855) = 3
LCM(39849,39855) = ( 39849 × 39855) / 3
LCM(39849,39855) = 1588181895 / 3
LCM(39849,39855) = 529393965

Least Common Multiple (LCM) of 39849 and 39855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39849 and 39855. First we will calculate the prime factors of 39849 and 39855.

Prime Factorization of 39849

Prime Factorization of 39855

Now multiplying the highest exponent prime factors to calculate the LCM of 39849 and 39855.

LCM(39849,39855) = 3¹ × 37¹ × 359¹ × 5¹ × 2657¹
LCM(39849,39855) = 529393965