What is the Least Common Multiple of 55965 and 55974?

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 55965 and 55974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55965 and 55974, than apply into the LCM equation.

GCF(55965,55974) = 3
LCM(55965,55974) = ( 55965 × 55974) / 3
LCM(55965,55974) = 3132584910 / 3
LCM(55965,55974) = 1044194970

Least Common Multiple (LCM) of 55965 and 55974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55965 and 55974. First we will calculate the prime factors of 55965 and 55974.

Prime Factorization of 55965

Prime Factorization of 55974

Now multiplying the highest exponent prime factors to calculate the LCM of 55965 and 55974.

LCM(55965,55974) = 3¹ × 5¹ × 7¹ × 13¹ × 41¹ × 2¹ × 19¹ × 491¹
LCM(55965,55974) = 1044194970