What is the Least Common Multiple of 36470 and 36484?

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 36470 and 36484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36470 and 36484, than apply into the LCM equation.

GCF(36470,36484) = 14
LCM(36470,36484) = ( 36470 × 36484) / 14
LCM(36470,36484) = 1330571480 / 14
LCM(36470,36484) = 95040820

Least Common Multiple (LCM) of 36470 and 36484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36470 and 36484. First we will calculate the prime factors of 36470 and 36484.

Prime Factorization of 36470

Prime Factorization of 36484

Now multiplying the highest exponent prime factors to calculate the LCM of 36470 and 36484.

LCM(36470,36484) = 2² × 5¹ × 7¹ × 521¹ × 1303¹
LCM(36470,36484) = 95040820