What is the Least Common Multiple of 39536 and 39546?

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 39536 and 39546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39536 and 39546, than apply into the LCM equation.

GCF(39536,39546) = 2
LCM(39536,39546) = ( 39536 × 39546) / 2
LCM(39536,39546) = 1563490656 / 2
LCM(39536,39546) = 781745328

Least Common Multiple (LCM) of 39536 and 39546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39536 and 39546. First we will calculate the prime factors of 39536 and 39546.

Prime Factorization of 39536

Prime Factorization of 39546

Now multiplying the highest exponent prime factors to calculate the LCM of 39536 and 39546.

LCM(39536,39546) = 2⁴ × 7¹ × 353¹ × 3² × 13³
LCM(39536,39546) = 781745328