What is the Least Common Multiple of 60865 and 60881?

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 60865 and 60881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60865 and 60881, than apply into the LCM equation.

GCF(60865,60881) = 1
LCM(60865,60881) = ( 60865 × 60881) / 1
LCM(60865,60881) = 3705522065 / 1
LCM(60865,60881) = 3705522065

Least Common Multiple (LCM) of 60865 and 60881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60865 and 60881. First we will calculate the prime factors of 60865 and 60881.

Prime Factorization of 60865

Prime Factorization of 60881

Now multiplying the highest exponent prime factors to calculate the LCM of 60865 and 60881.

LCM(60865,60881) = 5¹ × 7¹ × 37¹ × 47¹ × 23¹ × 2647¹
LCM(60865,60881) = 3705522065