What is the Least Common Multiple of 59038 and 59054?

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 59054 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 59054, than apply into the LCM equation.

GCF(59038,59054) = 2
LCM(59038,59054) = ( 59038 × 59054) / 2
LCM(59038,59054) = 3486430052 / 2
LCM(59038,59054) = 1743215026

Least Common Multiple (LCM) of 59038 and 59054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59038 and 59054. First we will calculate the prime factors of 59038 and 59054.

Prime Factorization of 59038

Prime Factorization of 59054

Now multiplying the highest exponent prime factors to calculate the LCM of 59038 and 59054.

LCM(59038,59054) = 2¹ × 7¹ × 4217¹ × 29527¹
LCM(59038,59054) = 1743215026