What is the Least Common Multiple of 39653 and 39668?

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 39653 and 39668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39653 and 39668, than apply into the LCM equation.

GCF(39653,39668) = 1
LCM(39653,39668) = ( 39653 × 39668) / 1
LCM(39653,39668) = 1572955204 / 1
LCM(39653,39668) = 1572955204

Least Common Multiple (LCM) of 39653 and 39668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39653 and 39668. First we will calculate the prime factors of 39653 and 39668.

Prime Factorization of 39653

Prime Factorization of 39668

Now multiplying the highest exponent prime factors to calculate the LCM of 39653 and 39668.

LCM(39653,39668) = 19¹ × 2087¹ × 2² × 47¹ × 211¹
LCM(39653,39668) = 1572955204