What is the Least Common Multiple of 9460 and 9478?

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 9460 and 9478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9460 and 9478, than apply into the LCM equation.

GCF(9460,9478) = 2
LCM(9460,9478) = ( 9460 × 9478) / 2
LCM(9460,9478) = 89661880 / 2
LCM(9460,9478) = 44830940

Least Common Multiple (LCM) of 9460 and 9478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9460 and 9478. First we will calculate the prime factors of 9460 and 9478.

Prime Factorization of 9460

Prime Factorization of 9478

Now multiplying the highest exponent prime factors to calculate the LCM of 9460 and 9478.

LCM(9460,9478) = 2² × 5¹ × 11¹ × 43¹ × 7¹ × 677¹
LCM(9460,9478) = 44830940