What is the Least Common Multiple of 59465 and 59470?

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 59465 and 59470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59465 and 59470, than apply into the LCM equation.

GCF(59465,59470) = 5
LCM(59465,59470) = ( 59465 × 59470) / 5
LCM(59465,59470) = 3536383550 / 5
LCM(59465,59470) = 707276710

Least Common Multiple (LCM) of 59465 and 59470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59465 and 59470. First we will calculate the prime factors of 59465 and 59470.

Prime Factorization of 59465

Prime Factorization of 59470

Now multiplying the highest exponent prime factors to calculate the LCM of 59465 and 59470.

LCM(59465,59470) = 5¹ × 7¹ × 1699¹ × 2¹ × 19¹ × 313¹
LCM(59465,59470) = 707276710