What is the Least Common Multiple of 76760 and 76770?

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 76760 and 76770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76760 and 76770, than apply into the LCM equation.

GCF(76760,76770) = 10
LCM(76760,76770) = ( 76760 × 76770) / 10
LCM(76760,76770) = 5892865200 / 10
LCM(76760,76770) = 589286520

Least Common Multiple (LCM) of 76760 and 76770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76760 and 76770. First we will calculate the prime factors of 76760 and 76770.

Prime Factorization of 76760

Prime Factorization of 76770

Now multiplying the highest exponent prime factors to calculate the LCM of 76760 and 76770.

LCM(76760,76770) = 2³ × 5¹ × 19¹ × 101¹ × 3² × 853¹
LCM(76760,76770) = 589286520