What is the Least Common Multiple of 39529 and 39536?

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 39529 and 39536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39529 and 39536, than apply into the LCM equation.

GCF(39529,39536) = 7
LCM(39529,39536) = ( 39529 × 39536) / 7
LCM(39529,39536) = 1562818544 / 7
LCM(39529,39536) = 223259792

Least Common Multiple (LCM) of 39529 and 39536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39529 and 39536. First we will calculate the prime factors of 39529 and 39536.

Prime Factorization of 39529

Prime Factorization of 39536

Now multiplying the highest exponent prime factors to calculate the LCM of 39529 and 39536.

LCM(39529,39536) = 7¹ × 5647¹ × 2⁴ × 353¹
LCM(39529,39536) = 223259792