What is the Least Common Multiple of 62705 and 62710?

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 62705 and 62710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62705 and 62710, than apply into the LCM equation.

GCF(62705,62710) = 5
LCM(62705,62710) = ( 62705 × 62710) / 5
LCM(62705,62710) = 3932230550 / 5
LCM(62705,62710) = 786446110

Least Common Multiple (LCM) of 62705 and 62710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62705 and 62710. First we will calculate the prime factors of 62705 and 62710.

Prime Factorization of 62705

Prime Factorization of 62710

Now multiplying the highest exponent prime factors to calculate the LCM of 62705 and 62710.

LCM(62705,62710) = 5¹ × 12541¹ × 2¹ × 6271¹
LCM(62705,62710) = 786446110