What is the Least Common Multiple of 89435 and 89446?

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 89435 and 89446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89435 and 89446, than apply into the LCM equation.

GCF(89435,89446) = 1
LCM(89435,89446) = ( 89435 × 89446) / 1
LCM(89435,89446) = 7999603010 / 1
LCM(89435,89446) = 7999603010

Least Common Multiple (LCM) of 89435 and 89446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89435 and 89446. First we will calculate the prime factors of 89435 and 89446.

Prime Factorization of 89435

Prime Factorization of 89446

Now multiplying the highest exponent prime factors to calculate the LCM of 89435 and 89446.

LCM(89435,89446) = 5¹ × 31¹ × 577¹ × 2¹ × 7¹ × 6389¹
LCM(89435,89446) = 7999603010