What is the Least Common Multiple of 89740 and 89749?

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 89740 and 89749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89740 and 89749, than apply into the LCM equation.

GCF(89740,89749) = 1
LCM(89740,89749) = ( 89740 × 89749) / 1
LCM(89740,89749) = 8054075260 / 1
LCM(89740,89749) = 8054075260

Least Common Multiple (LCM) of 89740 and 89749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89740 and 89749. First we will calculate the prime factors of 89740 and 89749.

Prime Factorization of 89740

Prime Factorization of 89749

Now multiplying the highest exponent prime factors to calculate the LCM of 89740 and 89749.

LCM(89740,89749) = 2² × 5¹ × 7¹ × 641¹ × 11¹ × 41¹ × 199¹
LCM(89740,89749) = 8054075260