What is the Least Common Multiple of 57969 and 57978?

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 57969 and 57978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57969 and 57978, than apply into the LCM equation.

GCF(57969,57978) = 9
LCM(57969,57978) = ( 57969 × 57978) / 9
LCM(57969,57978) = 3360926682 / 9
LCM(57969,57978) = 373436298

Least Common Multiple (LCM) of 57969 and 57978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57969 and 57978. First we will calculate the prime factors of 57969 and 57978.

Prime Factorization of 57969

Prime Factorization of 57978

Now multiplying the highest exponent prime factors to calculate the LCM of 57969 and 57978.

LCM(57969,57978) = 3³ × 19¹ × 113¹ × 2¹ × 3221¹
LCM(57969,57978) = 373436298