What is the Least Common Multiple of 61983 and 61993?

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 61983 and 61993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61983 and 61993, than apply into the LCM equation.

GCF(61983,61993) = 1
LCM(61983,61993) = ( 61983 × 61993) / 1
LCM(61983,61993) = 3842512119 / 1
LCM(61983,61993) = 3842512119

Least Common Multiple (LCM) of 61983 and 61993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61983 and 61993. First we will calculate the prime factors of 61983 and 61993.

Prime Factorization of 61983

Prime Factorization of 61993

Now multiplying the highest exponent prime factors to calculate the LCM of 61983 and 61993.

LCM(61983,61993) = 3² × 71¹ × 97¹ × 47¹ × 1319¹
LCM(61983,61993) = 3842512119