What is the Least Common Multiple of 56829 and 56848?

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 56829 and 56848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56829 and 56848, than apply into the LCM equation.

GCF(56829,56848) = 19
LCM(56829,56848) = ( 56829 × 56848) / 19
LCM(56829,56848) = 3230614992 / 19
LCM(56829,56848) = 170032368

Least Common Multiple (LCM) of 56829 and 56848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56829 and 56848. First we will calculate the prime factors of 56829 and 56848.

Prime Factorization of 56829

Prime Factorization of 56848

Now multiplying the highest exponent prime factors to calculate the LCM of 56829 and 56848.

LCM(56829,56848) = 3¹ × 19¹ × 997¹ × 2⁴ × 11¹ × 17¹
LCM(56829,56848) = 170032368