What is the Least Common Multiple of 73456 and 73470?

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 73456 and 73470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73456 and 73470, than apply into the LCM equation.

GCF(73456,73470) = 2
LCM(73456,73470) = ( 73456 × 73470) / 2
LCM(73456,73470) = 5396812320 / 2
LCM(73456,73470) = 2698406160

Least Common Multiple (LCM) of 73456 and 73470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73456 and 73470. First we will calculate the prime factors of 73456 and 73470.

Prime Factorization of 73456

Prime Factorization of 73470

Now multiplying the highest exponent prime factors to calculate the LCM of 73456 and 73470.

LCM(73456,73470) = 2⁴ × 4591¹ × 3¹ × 5¹ × 31¹ × 79¹
LCM(73456,73470) = 2698406160