What is the Least Common Multiple of 39884 and 39897?

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 39884 and 39897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39884 and 39897, than apply into the LCM equation.

GCF(39884,39897) = 13
LCM(39884,39897) = ( 39884 × 39897) / 13
LCM(39884,39897) = 1591251948 / 13
LCM(39884,39897) = 122403996

Least Common Multiple (LCM) of 39884 and 39897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39884 and 39897. First we will calculate the prime factors of 39884 and 39897.

Prime Factorization of 39884

Prime Factorization of 39897

Now multiplying the highest exponent prime factors to calculate the LCM of 39884 and 39897.

LCM(39884,39897) = 2² × 13² × 59¹ × 3² × 11¹ × 31¹
LCM(39884,39897) = 122403996