What is the Least Common Multiple of 59619 and 59625?

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 59619 and 59625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59619 and 59625, than apply into the LCM equation.

GCF(59619,59625) = 3
LCM(59619,59625) = ( 59619 × 59625) / 3
LCM(59619,59625) = 3554782875 / 3
LCM(59619,59625) = 1184927625

Least Common Multiple (LCM) of 59619 and 59625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59619 and 59625. First we will calculate the prime factors of 59619 and 59625.

Prime Factorization of 59619

Prime Factorization of 59625

Now multiplying the highest exponent prime factors to calculate the LCM of 59619 and 59625.

LCM(59619,59625) = 3² × 7¹ × 17¹ × 167¹ × 5³ × 53¹
LCM(59619,59625) = 1184927625