What is the Least Common Multiple of 59500 and 59505?

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 59500 and 59505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59500 and 59505, than apply into the LCM equation.

GCF(59500,59505) = 5
LCM(59500,59505) = ( 59500 × 59505) / 5
LCM(59500,59505) = 3540547500 / 5
LCM(59500,59505) = 708109500

Least Common Multiple (LCM) of 59500 and 59505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59500 and 59505. First we will calculate the prime factors of 59500 and 59505.

Prime Factorization of 59500

Prime Factorization of 59505

Now multiplying the highest exponent prime factors to calculate the LCM of 59500 and 59505.

LCM(59500,59505) = 2² × 5³ × 7¹ × 17¹ × 3¹ × 3967¹
LCM(59500,59505) = 708109500