What is the Least Common Multiple of 52740 and 52745?

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 52740 and 52745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52740 and 52745, than apply into the LCM equation.

GCF(52740,52745) = 5
LCM(52740,52745) = ( 52740 × 52745) / 5
LCM(52740,52745) = 2781771300 / 5
LCM(52740,52745) = 556354260

Least Common Multiple (LCM) of 52740 and 52745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52740 and 52745. First we will calculate the prime factors of 52740 and 52745.

Prime Factorization of 52740

Prime Factorization of 52745

Now multiplying the highest exponent prime factors to calculate the LCM of 52740 and 52745.

LCM(52740,52745) = 2² × 3² × 5¹ × 293¹ × 7¹ × 11¹ × 137¹
LCM(52740,52745) = 556354260