What is the Least Common Multiple of 61968 and 61983?

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 61968 and 61983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61968 and 61983, than apply into the LCM equation.

GCF(61968,61983) = 3
LCM(61968,61983) = ( 61968 × 61983) / 3
LCM(61968,61983) = 3840962544 / 3
LCM(61968,61983) = 1280320848

Least Common Multiple (LCM) of 61968 and 61983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61968 and 61983. First we will calculate the prime factors of 61968 and 61983.

Prime Factorization of 61968

Prime Factorization of 61983

Now multiplying the highest exponent prime factors to calculate the LCM of 61968 and 61983.

LCM(61968,61983) = 2⁴ × 3² × 1291¹ × 71¹ × 97¹
LCM(61968,61983) = 1280320848