What is the Least Common Multiple of 61838 and 61852?

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 61838 and 61852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61838 and 61852, than apply into the LCM equation.

GCF(61838,61852) = 14
LCM(61838,61852) = ( 61838 × 61852) / 14
LCM(61838,61852) = 3824803976 / 14
LCM(61838,61852) = 273200284

Least Common Multiple (LCM) of 61838 and 61852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61838 and 61852. First we will calculate the prime factors of 61838 and 61852.

Prime Factorization of 61838

Prime Factorization of 61852

Now multiplying the highest exponent prime factors to calculate the LCM of 61838 and 61852.

LCM(61838,61852) = 2² × 7² × 631¹ × 47²
LCM(61838,61852) = 273200284