What is the Least Common Multiple of 61589 and 61596?

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 61589 and 61596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61589 and 61596, than apply into the LCM equation.

GCF(61589,61596) = 1
LCM(61589,61596) = ( 61589 × 61596) / 1
LCM(61589,61596) = 3793636044 / 1
LCM(61589,61596) = 3793636044

Least Common Multiple (LCM) of 61589 and 61596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61589 and 61596. First we will calculate the prime factors of 61589 and 61596.

Prime Factorization of 61589

Prime Factorization of 61596

Now multiplying the highest exponent prime factors to calculate the LCM of 61589 and 61596.

LCM(61589,61596) = 11² × 509¹ × 2² × 3² × 29¹ × 59¹
LCM(61589,61596) = 3793636044