What is the Least Common Multiple of 59038 and 59048?

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 59038 and 59048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59038 and 59048, than apply into the LCM equation.

GCF(59038,59048) = 2
LCM(59038,59048) = ( 59038 × 59048) / 2
LCM(59038,59048) = 3486075824 / 2
LCM(59038,59048) = 1743037912

Least Common Multiple (LCM) of 59038 and 59048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59038 and 59048. First we will calculate the prime factors of 59038 and 59048.

Prime Factorization of 59038

Prime Factorization of 59048

Now multiplying the highest exponent prime factors to calculate the LCM of 59038 and 59048.

LCM(59038,59048) = 2³ × 7¹ × 4217¹ × 11² × 61¹
LCM(59038,59048) = 1743037912