What is the Least Common Multiple of 67470 and 67484?

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 67470 and 67484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67470 and 67484, than apply into the LCM equation.

GCF(67470,67484) = 2
LCM(67470,67484) = ( 67470 × 67484) / 2
LCM(67470,67484) = 4553145480 / 2
LCM(67470,67484) = 2276572740

Least Common Multiple (LCM) of 67470 and 67484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67470 and 67484. First we will calculate the prime factors of 67470 and 67484.

Prime Factorization of 67470

Prime Factorization of 67484

Now multiplying the highest exponent prime factors to calculate the LCM of 67470 and 67484.

LCM(67470,67484) = 2² × 3¹ × 5¹ × 13¹ × 173¹ × 16871¹
LCM(67470,67484) = 2276572740