What is the Least Common Multiple of 61909 and 61928?

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 61909 and 61928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61909 and 61928, than apply into the LCM equation.

GCF(61909,61928) = 1
LCM(61909,61928) = ( 61909 × 61928) / 1
LCM(61909,61928) = 3833900552 / 1
LCM(61909,61928) = 3833900552

Least Common Multiple (LCM) of 61909 and 61928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61909 and 61928. First we will calculate the prime factors of 61909 and 61928.

Prime Factorization of 61909

Prime Factorization of 61928

Now multiplying the highest exponent prime factors to calculate the LCM of 61909 and 61928.

LCM(61909,61928) = 61909¹ × 2³ × 7741¹
LCM(61909,61928) = 3833900552