What is the Least Common Multiple of 54740 and 54755?

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 54740 and 54755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54740 and 54755, than apply into the LCM equation.

GCF(54740,54755) = 5
LCM(54740,54755) = ( 54740 × 54755) / 5
LCM(54740,54755) = 2997288700 / 5
LCM(54740,54755) = 599457740

Least Common Multiple (LCM) of 54740 and 54755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54740 and 54755. First we will calculate the prime factors of 54740 and 54755.

Prime Factorization of 54740

Prime Factorization of 54755

Now multiplying the highest exponent prime factors to calculate the LCM of 54740 and 54755.

LCM(54740,54755) = 2² × 5¹ × 7¹ × 17¹ × 23¹ × 47¹ × 233¹
LCM(54740,54755) = 599457740