What is the Least Common Multiple of 35130 and 35135?

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 35130 and 35135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35130 and 35135, than apply into the LCM equation.

GCF(35130,35135) = 5
LCM(35130,35135) = ( 35130 × 35135) / 5
LCM(35130,35135) = 1234292550 / 5
LCM(35130,35135) = 246858510

Least Common Multiple (LCM) of 35130 and 35135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35130 and 35135. First we will calculate the prime factors of 35130 and 35135.

Prime Factorization of 35130

Prime Factorization of 35135

Now multiplying the highest exponent prime factors to calculate the LCM of 35130 and 35135.

LCM(35130,35135) = 2¹ × 3¹ × 5¹ × 1171¹ × 7027¹
LCM(35130,35135) = 246858510