What is the Least Common Multiple of 63082 and 63102?

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 63082 and 63102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63082 and 63102, than apply into the LCM equation.

GCF(63082,63102) = 2
LCM(63082,63102) = ( 63082 × 63102) / 2
LCM(63082,63102) = 3980600364 / 2
LCM(63082,63102) = 1990300182

Least Common Multiple (LCM) of 63082 and 63102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63082 and 63102. First we will calculate the prime factors of 63082 and 63102.

Prime Factorization of 63082

Prime Factorization of 63102

Now multiplying the highest exponent prime factors to calculate the LCM of 63082 and 63102.

LCM(63082,63102) = 2¹ × 31541¹ × 3¹ × 13¹ × 809¹
LCM(63082,63102) = 1990300182