What is the Least Common Multiple of 35046 and 35053?

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 35046 and 35053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35046 and 35053, than apply into the LCM equation.

GCF(35046,35053) = 1
LCM(35046,35053) = ( 35046 × 35053) / 1
LCM(35046,35053) = 1228467438 / 1
LCM(35046,35053) = 1228467438

Least Common Multiple (LCM) of 35046 and 35053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35046 and 35053. First we will calculate the prime factors of 35046 and 35053.

Prime Factorization of 35046

Prime Factorization of 35053

Now multiplying the highest exponent prime factors to calculate the LCM of 35046 and 35053.

LCM(35046,35053) = 2¹ × 3³ × 11¹ × 59¹ × 35053¹
LCM(35046,35053) = 1228467438