What is the Least Common Multiple of 54700 and 54705?

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 54705 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 54705, than apply into the LCM equation.

GCF(54700,54705) = 5
LCM(54700,54705) = ( 54700 × 54705) / 5
LCM(54700,54705) = 2992363500 / 5
LCM(54700,54705) = 598472700

Least Common Multiple (LCM) of 54700 and 54705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54700 and 54705. First we will calculate the prime factors of 54700 and 54705.

Prime Factorization of 54700

Prime Factorization of 54705

Now multiplying the highest exponent prime factors to calculate the LCM of 54700 and 54705.

LCM(54700,54705) = 2² × 5² × 547¹ × 3¹ × 7¹ × 521¹
LCM(54700,54705) = 598472700