What is the Least Common Multiple of 89634 and 89647?

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 89634 and 89647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89634 and 89647, than apply into the LCM equation.

GCF(89634,89647) = 1
LCM(89634,89647) = ( 89634 × 89647) / 1
LCM(89634,89647) = 8035419198 / 1
LCM(89634,89647) = 8035419198

Least Common Multiple (LCM) of 89634 and 89647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89634 and 89647. First we will calculate the prime factors of 89634 and 89647.

Prime Factorization of 89634

Prime Factorization of 89647

Now multiplying the highest exponent prime factors to calculate the LCM of 89634 and 89647.

LCM(89634,89647) = 2¹ × 3¹ × 14939¹ × 157¹ × 571¹
LCM(89634,89647) = 8035419198