What is the Least Common Multiple of 69705 and 69710?

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 69705 and 69710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69705 and 69710, than apply into the LCM equation.

GCF(69705,69710) = 5
LCM(69705,69710) = ( 69705 × 69710) / 5
LCM(69705,69710) = 4859135550 / 5
LCM(69705,69710) = 971827110

Least Common Multiple (LCM) of 69705 and 69710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69705 and 69710. First we will calculate the prime factors of 69705 and 69710.

Prime Factorization of 69705

Prime Factorization of 69710

Now multiplying the highest exponent prime factors to calculate the LCM of 69705 and 69710.

LCM(69705,69710) = 3² × 5¹ × 1549¹ × 2¹ × 6971¹
LCM(69705,69710) = 971827110