What is the Least Common Multiple of 59834 and 59849?

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 59834 and 59849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59834 and 59849, than apply into the LCM equation.

GCF(59834,59849) = 1
LCM(59834,59849) = ( 59834 × 59849) / 1
LCM(59834,59849) = 3581005066 / 1
LCM(59834,59849) = 3581005066

Least Common Multiple (LCM) of 59834 and 59849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59834 and 59849. First we will calculate the prime factors of 59834 and 59849.

Prime Factorization of 59834

Prime Factorization of 59849

Now multiplying the highest exponent prime factors to calculate the LCM of 59834 and 59849.

LCM(59834,59849) = 2¹ × 29917¹ × 97¹ × 617¹
LCM(59834,59849) = 3581005066