What is the Least Common Multiple of 39510 and 39523?

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 39510 and 39523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39510 and 39523, than apply into the LCM equation.

GCF(39510,39523) = 1
LCM(39510,39523) = ( 39510 × 39523) / 1
LCM(39510,39523) = 1561553730 / 1
LCM(39510,39523) = 1561553730

Least Common Multiple (LCM) of 39510 and 39523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39510 and 39523. First we will calculate the prime factors of 39510 and 39523.

Prime Factorization of 39510

Prime Factorization of 39523

Now multiplying the highest exponent prime factors to calculate the LCM of 39510 and 39523.

LCM(39510,39523) = 2¹ × 3² × 5¹ × 439¹ × 11¹ × 3593¹
LCM(39510,39523) = 1561553730