What is the Least Common Multiple of 56415 and 56430?

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 56415 and 56430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56415 and 56430, than apply into the LCM equation.

GCF(56415,56430) = 15
LCM(56415,56430) = ( 56415 × 56430) / 15
LCM(56415,56430) = 3183498450 / 15
LCM(56415,56430) = 212233230

Least Common Multiple (LCM) of 56415 and 56430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56415 and 56430. First we will calculate the prime factors of 56415 and 56430.

Prime Factorization of 56415

Prime Factorization of 56430

Now multiplying the highest exponent prime factors to calculate the LCM of 56415 and 56430.

LCM(56415,56430) = 3³ × 5¹ × 3761¹ × 2¹ × 11¹ × 19¹
LCM(56415,56430) = 212233230