What is the Least Common Multiple of 61850 and 61855?

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 61850 and 61855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61850 and 61855, than apply into the LCM equation.

GCF(61850,61855) = 5
LCM(61850,61855) = ( 61850 × 61855) / 5
LCM(61850,61855) = 3825731750 / 5
LCM(61850,61855) = 765146350

Least Common Multiple (LCM) of 61850 and 61855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61850 and 61855. First we will calculate the prime factors of 61850 and 61855.

Prime Factorization of 61850

Prime Factorization of 61855

Now multiplying the highest exponent prime factors to calculate the LCM of 61850 and 61855.

LCM(61850,61855) = 2¹ × 5² × 1237¹ × 89¹ × 139¹
LCM(61850,61855) = 765146350