What is the Least Common Multiple of 62082 and 62097?

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 62082 and 62097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62082 and 62097, than apply into the LCM equation.

GCF(62082,62097) = 3
LCM(62082,62097) = ( 62082 × 62097) / 3
LCM(62082,62097) = 3855105954 / 3
LCM(62082,62097) = 1285035318

Least Common Multiple (LCM) of 62082 and 62097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62082 and 62097. First we will calculate the prime factors of 62082 and 62097.

Prime Factorization of 62082

Prime Factorization of 62097

Now multiplying the highest exponent prime factors to calculate the LCM of 62082 and 62097.

LCM(62082,62097) = 2¹ × 3² × 3449¹ × 7¹ × 2957¹
LCM(62082,62097) = 1285035318