GCF and LCM Calculator Logo

What is the Least Common Multiple of 35030 and 35046?

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 (LCM) of 35030 and 35046 is 613830690.

LCM(35030,35046) = 613830690

LCM Calculator and
and

Least Common Multiple of 35030 and 35046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35030 and 35046, than apply into the LCM equation.

GCF(35030,35046) = 2
LCM(35030,35046) = ( 35030 × 35046) / 2
LCM(35030,35046) = 1227661380 / 2
LCM(35030,35046) = 613830690

Least Common Multiple (LCM) of 35030 and 35046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35030 and 35046. First we will calculate the prime factors of 35030 and 35046.

Prime Factorization of 35030

Prime factors of 35030 are 2, 5, 31, 113. Prime factorization of 35030 in exponential form is:

35030 = 21 × 51 × 311 × 1131

Prime Factorization of 35046

Prime factors of 35046 are 2, 3, 11, 59. Prime factorization of 35046 in exponential form is:

35046 = 21 × 33 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 35030 and 35046.

LCM(35030,35046) = 21 × 51 × 311 × 1131 × 33 × 111 × 591
LCM(35030,35046) = 613830690