What is the Least Common Multiple of 78382 and 78402?

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 78382 and 78402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78382 and 78402, than apply into the LCM equation.

GCF(78382,78402) = 2
LCM(78382,78402) = ( 78382 × 78402) / 2
LCM(78382,78402) = 6145305564 / 2
LCM(78382,78402) = 3072652782

Least Common Multiple (LCM) of 78382 and 78402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78382 and 78402. First we will calculate the prime factors of 78382 and 78402.

Prime Factorization of 78382

Prime Factorization of 78402

Now multiplying the highest exponent prime factors to calculate the LCM of 78382 and 78402.

LCM(78382,78402) = 2¹ × 39191¹ × 3¹ × 73¹ × 179¹
LCM(78382,78402) = 3072652782