What is the Least Common Multiple of 89460 and 89478?

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 89478 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 89478, than apply into the LCM equation.

GCF(89460,89478) = 18
LCM(89460,89478) = ( 89460 × 89478) / 18
LCM(89460,89478) = 8004701880 / 18
LCM(89460,89478) = 444705660

Least Common Multiple (LCM) of 89460 and 89478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89460 and 89478. First we will calculate the prime factors of 89460 and 89478.

Prime Factorization of 89460

Prime Factorization of 89478

Now multiplying the highest exponent prime factors to calculate the LCM of 89460 and 89478.

LCM(89460,89478) = 2² × 3³ × 5¹ × 7¹ × 71¹ × 1657¹
LCM(89460,89478) = 444705660