What is the Least Common Multiple of 52740 and 52749?

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 52749 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 52749, than apply into the LCM equation.

GCF(52740,52749) = 9
LCM(52740,52749) = ( 52740 × 52749) / 9
LCM(52740,52749) = 2781982260 / 9
LCM(52740,52749) = 309109140

Least Common Multiple (LCM) of 52740 and 52749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52740 and 52749. First we will calculate the prime factors of 52740 and 52749.

Prime Factorization of 52740

Prime Factorization of 52749

Now multiplying the highest exponent prime factors to calculate the LCM of 52740 and 52749.

LCM(52740,52749) = 2² × 3² × 5¹ × 293¹ × 5861¹
LCM(52740,52749) = 309109140