What is the Least Common Multiple of 60895 and 60905?

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 60895 and 60905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60895 and 60905, than apply into the LCM equation.

GCF(60895,60905) = 5
LCM(60895,60905) = ( 60895 × 60905) / 5
LCM(60895,60905) = 3708809975 / 5
LCM(60895,60905) = 741761995

Least Common Multiple (LCM) of 60895 and 60905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60895 and 60905. First we will calculate the prime factors of 60895 and 60905.

Prime Factorization of 60895

Prime Factorization of 60905

Now multiplying the highest exponent prime factors to calculate the LCM of 60895 and 60905.

LCM(60895,60905) = 5¹ × 19¹ × 641¹ × 13¹ × 937¹
LCM(60895,60905) = 741761995