What is the Least Common Multiple of 35038 and 35054?

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 35038 and 35054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35038 and 35054, than apply into the LCM equation.

GCF(35038,35054) = 2
LCM(35038,35054) = ( 35038 × 35054) / 2
LCM(35038,35054) = 1228222052 / 2
LCM(35038,35054) = 614111026

Least Common Multiple (LCM) of 35038 and 35054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35038 and 35054. First we will calculate the prime factors of 35038 and 35054.

Prime Factorization of 35038

Prime Factorization of 35054

Now multiplying the highest exponent prime factors to calculate the LCM of 35038 and 35054.

LCM(35038,35054) = 2¹ × 17519¹ × 17¹ × 1031¹
LCM(35038,35054) = 614111026