What is the Least Common Multiple of 56405 and 56415?

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 56405 and 56415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56405 and 56415, than apply into the LCM equation.

GCF(56405,56415) = 5
LCM(56405,56415) = ( 56405 × 56415) / 5
LCM(56405,56415) = 3182088075 / 5
LCM(56405,56415) = 636417615

Least Common Multiple (LCM) of 56405 and 56415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56405 and 56415. First we will calculate the prime factors of 56405 and 56415.

Prime Factorization of 56405

Prime Factorization of 56415

Now multiplying the highest exponent prime factors to calculate the LCM of 56405 and 56415.

LCM(56405,56415) = 5¹ × 29¹ × 389¹ × 3¹ × 3761¹
LCM(56405,56415) = 636417615