What is the Least Common Multiple of 67470 and 67480?

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 67480 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 67480, than apply into the LCM equation.

GCF(67470,67480) = 10
LCM(67470,67480) = ( 67470 × 67480) / 10
LCM(67470,67480) = 4552875600 / 10
LCM(67470,67480) = 455287560

Least Common Multiple (LCM) of 67470 and 67480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67470 and 67480. First we will calculate the prime factors of 67470 and 67480.

Prime Factorization of 67470

Prime Factorization of 67480

Now multiplying the highest exponent prime factors to calculate the LCM of 67470 and 67480.

LCM(67470,67480) = 2³ × 3¹ × 5¹ × 13¹ × 173¹ × 7¹ × 241¹
LCM(67470,67480) = 455287560