What is the Least Common Multiple of 54473 and 54484?

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 54473 and 54484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54473 and 54484, than apply into the LCM equation.

GCF(54473,54484) = 1
LCM(54473,54484) = ( 54473 × 54484) / 1
LCM(54473,54484) = 2967906932 / 1
LCM(54473,54484) = 2967906932

Least Common Multiple (LCM) of 54473 and 54484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54473 and 54484. First we will calculate the prime factors of 54473 and 54484.

Prime Factorization of 54473

Prime Factorization of 54484

Now multiplying the highest exponent prime factors to calculate the LCM of 54473 and 54484.

LCM(54473,54484) = 19¹ × 47¹ × 61¹ × 2² × 53¹ × 257¹
LCM(54473,54484) = 2967906932