What is the Least Common Multiple of 61852 and 61869?

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 61852 and 61869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61852 and 61869, than apply into the LCM equation.

GCF(61852,61869) = 1
LCM(61852,61869) = ( 61852 × 61869) / 1
LCM(61852,61869) = 3826721388 / 1
LCM(61852,61869) = 3826721388

Least Common Multiple (LCM) of 61852 and 61869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61852 and 61869. First we will calculate the prime factors of 61852 and 61869.

Prime Factorization of 61852

Prime Factorization of 61869

Now multiplying the highest exponent prime factors to calculate the LCM of 61852 and 61869.

LCM(61852,61869) = 2² × 7¹ × 47² × 3¹ × 41¹ × 503¹
LCM(61852,61869) = 3826721388