What is the Least Common Multiple of 55974 and 55979?

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 55974 and 55979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55974 and 55979, than apply into the LCM equation.

GCF(55974,55979) = 1
LCM(55974,55979) = ( 55974 × 55979) / 1
LCM(55974,55979) = 3133368546 / 1
LCM(55974,55979) = 3133368546

Least Common Multiple (LCM) of 55974 and 55979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55974 and 55979. First we will calculate the prime factors of 55974 and 55979.

Prime Factorization of 55974

Prime Factorization of 55979

Now multiplying the highest exponent prime factors to calculate the LCM of 55974 and 55979.

LCM(55974,55979) = 2¹ × 3¹ × 19¹ × 491¹ × 7¹ × 11¹ × 727¹
LCM(55974,55979) = 3133368546