What is the Least Common Multiple of 67456 and 67470?

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 67456 and 67470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67456 and 67470, than apply into the LCM equation.

GCF(67456,67470) = 2
LCM(67456,67470) = ( 67456 × 67470) / 2
LCM(67456,67470) = 4551256320 / 2
LCM(67456,67470) = 2275628160

Least Common Multiple (LCM) of 67456 and 67470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67456 and 67470. First we will calculate the prime factors of 67456 and 67470.

Prime Factorization of 67456

Prime Factorization of 67470

Now multiplying the highest exponent prime factors to calculate the LCM of 67456 and 67470.

LCM(67456,67470) = 2⁷ × 17¹ × 31¹ × 3¹ × 5¹ × 13¹ × 173¹
LCM(67456,67470) = 2275628160