What is the Least Common Multiple of 60613 and 60625?

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 60613 and 60625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60613 and 60625, than apply into the LCM equation.

GCF(60613,60625) = 1
LCM(60613,60625) = ( 60613 × 60625) / 1
LCM(60613,60625) = 3674663125 / 1
LCM(60613,60625) = 3674663125

Least Common Multiple (LCM) of 60613 and 60625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60613 and 60625. First we will calculate the prime factors of 60613 and 60625.

Prime Factorization of 60613

Prime Factorization of 60625

Now multiplying the highest exponent prime factors to calculate the LCM of 60613 and 60625.

LCM(60613,60625) = 7² × 1237¹ × 5⁴ × 97¹
LCM(60613,60625) = 3674663125