What is the Least Common Multiple of 39596 and 39610?

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 39596 and 39610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39596 and 39610, than apply into the LCM equation.

GCF(39596,39610) = 2
LCM(39596,39610) = ( 39596 × 39610) / 2
LCM(39596,39610) = 1568397560 / 2
LCM(39596,39610) = 784198780

Least Common Multiple (LCM) of 39596 and 39610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39596 and 39610. First we will calculate the prime factors of 39596 and 39610.

Prime Factorization of 39596

Prime Factorization of 39610

Now multiplying the highest exponent prime factors to calculate the LCM of 39596 and 39610.

LCM(39596,39610) = 2² × 19¹ × 521¹ × 5¹ × 17¹ × 233¹
LCM(39596,39610) = 784198780