What is the Least Common Multiple of 59573 and 59580?

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 59573 and 59580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59573 and 59580, than apply into the LCM equation.

GCF(59573,59580) = 1
LCM(59573,59580) = ( 59573 × 59580) / 1
LCM(59573,59580) = 3549359340 / 1
LCM(59573,59580) = 3549359340

Least Common Multiple (LCM) of 59573 and 59580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59573 and 59580. First we will calculate the prime factors of 59573 and 59580.

Prime Factorization of 59573

Prime Factorization of 59580

Now multiplying the highest exponent prime factors to calculate the LCM of 59573 and 59580.

LCM(59573,59580) = 41¹ × 1453¹ × 2² × 3² × 5¹ × 331¹
LCM(59573,59580) = 3549359340