What is the Least Common Multiple of 59630 and 59650?

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 59630 and 59650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59630 and 59650, than apply into the LCM equation.

GCF(59630,59650) = 10
LCM(59630,59650) = ( 59630 × 59650) / 10
LCM(59630,59650) = 3556929500 / 10
LCM(59630,59650) = 355692950

Least Common Multiple (LCM) of 59630 and 59650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59630 and 59650. First we will calculate the prime factors of 59630 and 59650.

Prime Factorization of 59630

Prime Factorization of 59650

Now multiplying the highest exponent prime factors to calculate the LCM of 59630 and 59650.

LCM(59630,59650) = 2¹ × 5² × 67¹ × 89¹ × 1193¹
LCM(59630,59650) = 355692950