What is the Least Common Multiple of 35415 and 35430?

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 35415 and 35430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35415 and 35430, than apply into the LCM equation.

GCF(35415,35430) = 15
LCM(35415,35430) = ( 35415 × 35430) / 15
LCM(35415,35430) = 1254753450 / 15
LCM(35415,35430) = 83650230

Least Common Multiple (LCM) of 35415 and 35430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35415 and 35430. First we will calculate the prime factors of 35415 and 35430.

Prime Factorization of 35415

Prime Factorization of 35430

Now multiplying the highest exponent prime factors to calculate the LCM of 35415 and 35430.

LCM(35415,35430) = 3² × 5¹ × 787¹ × 2¹ × 1181¹
LCM(35415,35430) = 83650230