What is the Least Common Multiple of 62685 and 62705?

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 62685 and 62705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62685 and 62705, than apply into the LCM equation.

GCF(62685,62705) = 5
LCM(62685,62705) = ( 62685 × 62705) / 5
LCM(62685,62705) = 3930662925 / 5
LCM(62685,62705) = 786132585

Least Common Multiple (LCM) of 62685 and 62705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62685 and 62705. First we will calculate the prime factors of 62685 and 62705.

Prime Factorization of 62685

Prime Factorization of 62705

Now multiplying the highest exponent prime factors to calculate the LCM of 62685 and 62705.

LCM(62685,62705) = 3² × 5¹ × 7¹ × 199¹ × 12541¹
LCM(62685,62705) = 786132585