What is the Least Common Multiple of 59505 and 59519?

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 59505 and 59519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59505 and 59519, than apply into the LCM equation.

GCF(59505,59519) = 1
LCM(59505,59519) = ( 59505 × 59519) / 1
LCM(59505,59519) = 3541678095 / 1
LCM(59505,59519) = 3541678095

Least Common Multiple (LCM) of 59505 and 59519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59505 and 59519. First we will calculate the prime factors of 59505 and 59519.

Prime Factorization of 59505

Prime Factorization of 59519

Now multiplying the highest exponent prime factors to calculate the LCM of 59505 and 59519.

LCM(59505,59519) = 3¹ × 5¹ × 3967¹ × 53¹ × 1123¹
LCM(59505,59519) = 3541678095