What is the Least Common Multiple of 61909 and 61919?

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 61919 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 61919, than apply into the LCM equation.

GCF(61909,61919) = 1
LCM(61909,61919) = ( 61909 × 61919) / 1
LCM(61909,61919) = 3833343371 / 1
LCM(61909,61919) = 3833343371

Least Common Multiple (LCM) of 61909 and 61919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61909 and 61919. First we will calculate the prime factors of 61909 and 61919.

Prime Factorization of 61909

Prime Factorization of 61919

Now multiplying the highest exponent prime factors to calculate the LCM of 61909 and 61919.

LCM(61909,61919) = 61909¹ × 11¹ × 13¹ × 433¹
LCM(61909,61919) = 3833343371