What is the Least Common Multiple of 62282 and 62302?

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 62282 and 62302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62282 and 62302, than apply into the LCM equation.

GCF(62282,62302) = 2
LCM(62282,62302) = ( 62282 × 62302) / 2
LCM(62282,62302) = 3880293164 / 2
LCM(62282,62302) = 1940146582

Least Common Multiple (LCM) of 62282 and 62302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62282 and 62302. First we will calculate the prime factors of 62282 and 62302.

Prime Factorization of 62282

Prime Factorization of 62302

Now multiplying the highest exponent prime factors to calculate the LCM of 62282 and 62302.

LCM(62282,62302) = 2¹ × 11¹ × 19¹ × 149¹ × 31151¹
LCM(62282,62302) = 1940146582