What is the Least Common Multiple of 89460 and 89467?

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 89460 and 89467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89460 and 89467, than apply into the LCM equation.

GCF(89460,89467) = 7
LCM(89460,89467) = ( 89460 × 89467) / 7
LCM(89460,89467) = 8003717820 / 7
LCM(89460,89467) = 1143388260

Least Common Multiple (LCM) of 89460 and 89467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89460 and 89467. First we will calculate the prime factors of 89460 and 89467.

Prime Factorization of 89460

Prime Factorization of 89467

Now multiplying the highest exponent prime factors to calculate the LCM of 89460 and 89467.

LCM(89460,89467) = 2² × 3² × 5¹ × 7¹ × 71¹ × 12781¹
LCM(89460,89467) = 1143388260