What is the Least Common Multiple of 83415 and 83430?

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 83415 and 83430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83415 and 83430, than apply into the LCM equation.

GCF(83415,83430) = 15
LCM(83415,83430) = ( 83415 × 83430) / 15
LCM(83415,83430) = 6959313450 / 15
LCM(83415,83430) = 463954230

Least Common Multiple (LCM) of 83415 and 83430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83415 and 83430. First we will calculate the prime factors of 83415 and 83430.

Prime Factorization of 83415

Prime Factorization of 83430

Now multiplying the highest exponent prime factors to calculate the LCM of 83415 and 83430.

LCM(83415,83430) = 3⁴ × 5¹ × 67¹ × 83¹ × 2¹ × 103¹
LCM(83415,83430) = 463954230