What is the Least Common Multiple of 59546 and 59565?

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 59546 and 59565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59546 and 59565, than apply into the LCM equation.

GCF(59546,59565) = 19
LCM(59546,59565) = ( 59546 × 59565) / 19
LCM(59546,59565) = 3546857490 / 19
LCM(59546,59565) = 186676710

Least Common Multiple (LCM) of 59546 and 59565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59546 and 59565. First we will calculate the prime factors of 59546 and 59565.

Prime Factorization of 59546

Prime Factorization of 59565

Now multiplying the highest exponent prime factors to calculate the LCM of 59546 and 59565.

LCM(59546,59565) = 2¹ × 19² × 1567¹ × 3¹ × 5¹ × 11¹
LCM(59546,59565) = 186676710