What is the Least Common Multiple of 39968 and 39973?

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 39968 and 39973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39968 and 39973, than apply into the LCM equation.

GCF(39968,39973) = 1
LCM(39968,39973) = ( 39968 × 39973) / 1
LCM(39968,39973) = 1597640864 / 1
LCM(39968,39973) = 1597640864

Least Common Multiple (LCM) of 39968 and 39973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39968 and 39973. First we will calculate the prime factors of 39968 and 39973.

Prime Factorization of 39968

Prime Factorization of 39973

Now multiplying the highest exponent prime factors to calculate the LCM of 39968 and 39973.

LCM(39968,39973) = 2⁵ × 1249¹ × 71¹ × 563¹
LCM(39968,39973) = 1597640864