What is the Least Common Multiple of 54700 and 54709?

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 54700 and 54709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54700 and 54709, than apply into the LCM equation.

GCF(54700,54709) = 1
LCM(54700,54709) = ( 54700 × 54709) / 1
LCM(54700,54709) = 2992582300 / 1
LCM(54700,54709) = 2992582300

Least Common Multiple (LCM) of 54700 and 54709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54700 and 54709. First we will calculate the prime factors of 54700 and 54709.

Prime Factorization of 54700

Prime Factorization of 54709

Now multiplying the highest exponent prime factors to calculate the LCM of 54700 and 54709.

LCM(54700,54709) = 2² × 5² × 547¹ × 54709¹
LCM(54700,54709) = 2992582300