What is the Least Common Multiple of 59830 and 59845?

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 59830 and 59845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59830 and 59845, than apply into the LCM equation.

GCF(59830,59845) = 5
LCM(59830,59845) = ( 59830 × 59845) / 5
LCM(59830,59845) = 3580526350 / 5
LCM(59830,59845) = 716105270

Least Common Multiple (LCM) of 59830 and 59845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59830 and 59845. First we will calculate the prime factors of 59830 and 59845.

Prime Factorization of 59830

Prime Factorization of 59845

Now multiplying the highest exponent prime factors to calculate the LCM of 59830 and 59845.

LCM(59830,59845) = 2¹ × 5¹ × 31¹ × 193¹ × 11969¹
LCM(59830,59845) = 716105270