What is the Least Common Multiple of 55024 and 55042?

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 55024 and 55042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55024 and 55042, than apply into the LCM equation.

GCF(55024,55042) = 2
LCM(55024,55042) = ( 55024 × 55042) / 2
LCM(55024,55042) = 3028631008 / 2
LCM(55024,55042) = 1514315504

Least Common Multiple (LCM) of 55024 and 55042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55024 and 55042. First we will calculate the prime factors of 55024 and 55042.

Prime Factorization of 55024

Prime Factorization of 55042

Now multiplying the highest exponent prime factors to calculate the LCM of 55024 and 55042.

LCM(55024,55042) = 2⁴ × 19¹ × 181¹ × 13¹ × 29¹ × 73¹
LCM(55024,55042) = 1514315504