What is the Least Common Multiple of 89762 and 89770?

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 89762 and 89770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89762 and 89770, than apply into the LCM equation.

GCF(89762,89770) = 2
LCM(89762,89770) = ( 89762 × 89770) / 2
LCM(89762,89770) = 8057934740 / 2
LCM(89762,89770) = 4028967370

Least Common Multiple (LCM) of 89762 and 89770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89762 and 89770. First we will calculate the prime factors of 89762 and 89770.

Prime Factorization of 89762

Prime Factorization of 89770

Now multiplying the highest exponent prime factors to calculate the LCM of 89762 and 89770.

LCM(89762,89770) = 2¹ × 37¹ × 1213¹ × 5¹ × 47¹ × 191¹
LCM(89762,89770) = 4028967370