What is the Least Common Multiple of 35112 and 35130?

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 35112 and 35130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35112 and 35130, than apply into the LCM equation.

GCF(35112,35130) = 6
LCM(35112,35130) = ( 35112 × 35130) / 6
LCM(35112,35130) = 1233484560 / 6
LCM(35112,35130) = 205580760

Least Common Multiple (LCM) of 35112 and 35130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35112 and 35130. First we will calculate the prime factors of 35112 and 35130.

Prime Factorization of 35112

Prime Factorization of 35130

Now multiplying the highest exponent prime factors to calculate the LCM of 35112 and 35130.

LCM(35112,35130) = 2³ × 3¹ × 7¹ × 11¹ × 19¹ × 5¹ × 1171¹
LCM(35112,35130) = 205580760