What is the Least Common Multiple of 62286 and 62295?

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 62286 and 62295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62286 and 62295, than apply into the LCM equation.

GCF(62286,62295) = 3
LCM(62286,62295) = ( 62286 × 62295) / 3
LCM(62286,62295) = 3880106370 / 3
LCM(62286,62295) = 1293368790

Least Common Multiple (LCM) of 62286 and 62295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62286 and 62295. First we will calculate the prime factors of 62286 and 62295.

Prime Factorization of 62286

Prime Factorization of 62295

Now multiplying the highest exponent prime factors to calculate the LCM of 62286 and 62295.

LCM(62286,62295) = 2¹ × 3¹ × 7¹ × 1483¹ × 5¹ × 4153¹
LCM(62286,62295) = 1293368790