What is the Least Common Multiple of 69750 and 69770?

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 69750 and 69770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69750 and 69770, than apply into the LCM equation.

GCF(69750,69770) = 10
LCM(69750,69770) = ( 69750 × 69770) / 10
LCM(69750,69770) = 4866457500 / 10
LCM(69750,69770) = 486645750

Least Common Multiple (LCM) of 69750 and 69770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69750 and 69770. First we will calculate the prime factors of 69750 and 69770.

Prime Factorization of 69750

Prime Factorization of 69770

Now multiplying the highest exponent prime factors to calculate the LCM of 69750 and 69770.

LCM(69750,69770) = 2¹ × 3² × 5³ × 31¹ × 6977¹
LCM(69750,69770) = 486645750