What is the Least Common Multiple of 62396 and 62402?

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 62396 and 62402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62396 and 62402, than apply into the LCM equation.

GCF(62396,62402) = 2
LCM(62396,62402) = ( 62396 × 62402) / 2
LCM(62396,62402) = 3893635192 / 2
LCM(62396,62402) = 1946817596

Least Common Multiple (LCM) of 62396 and 62402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62396 and 62402. First we will calculate the prime factors of 62396 and 62402.

Prime Factorization of 62396

Prime Factorization of 62402

Now multiplying the highest exponent prime factors to calculate the LCM of 62396 and 62402.

LCM(62396,62402) = 2² × 19¹ × 821¹ × 41¹ × 761¹
LCM(62396,62402) = 1946817596