What is the Least Common Multiple of 42848 and 42861?

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 42848 and 42861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42848 and 42861, than apply into the LCM equation.

GCF(42848,42861) = 13
LCM(42848,42861) = ( 42848 × 42861) / 13
LCM(42848,42861) = 1836508128 / 13
LCM(42848,42861) = 141269856

Least Common Multiple (LCM) of 42848 and 42861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42848 and 42861. First we will calculate the prime factors of 42848 and 42861.

Prime Factorization of 42848

Prime Factorization of 42861

Now multiplying the highest exponent prime factors to calculate the LCM of 42848 and 42861.

LCM(42848,42861) = 2⁵ × 13¹ × 103¹ × 3¹ × 7¹ × 157¹
LCM(42848,42861) = 141269856