What is the Least Common Multiple of 55046 and 55063?

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 55046 and 55063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55046 and 55063, than apply into the LCM equation.

GCF(55046,55063) = 17
LCM(55046,55063) = ( 55046 × 55063) / 17
LCM(55046,55063) = 3030997898 / 17
LCM(55046,55063) = 178293994

Least Common Multiple (LCM) of 55046 and 55063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55046 and 55063. First we will calculate the prime factors of 55046 and 55063.

Prime Factorization of 55046

Prime Factorization of 55063

Now multiplying the highest exponent prime factors to calculate the LCM of 55046 and 55063.

LCM(55046,55063) = 2¹ × 17¹ × 1619¹ × 41¹ × 79¹
LCM(55046,55063) = 178293994