What is the Least Common Multiple of 62084 and 62102?

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 62084 and 62102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62084 and 62102, than apply into the LCM equation.

GCF(62084,62102) = 2
LCM(62084,62102) = ( 62084 × 62102) / 2
LCM(62084,62102) = 3855540568 / 2
LCM(62084,62102) = 1927770284

Least Common Multiple (LCM) of 62084 and 62102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62084 and 62102. First we will calculate the prime factors of 62084 and 62102.

Prime Factorization of 62084

Prime Factorization of 62102

Now multiplying the highest exponent prime factors to calculate the LCM of 62084 and 62102.

LCM(62084,62102) = 2² × 11¹ × 17¹ × 83¹ × 31051¹
LCM(62084,62102) = 1927770284