What is the Least Common Multiple of 36456 and 36470?

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 36456 and 36470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36456 and 36470, than apply into the LCM equation.

GCF(36456,36470) = 14
LCM(36456,36470) = ( 36456 × 36470) / 14
LCM(36456,36470) = 1329550320 / 14
LCM(36456,36470) = 94967880

Least Common Multiple (LCM) of 36456 and 36470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36456 and 36470. First we will calculate the prime factors of 36456 and 36470.

Prime Factorization of 36456

Prime Factorization of 36470

Now multiplying the highest exponent prime factors to calculate the LCM of 36456 and 36470.

LCM(36456,36470) = 2³ × 3¹ × 7² × 31¹ × 5¹ × 521¹
LCM(36456,36470) = 94967880