What is the Least Common Multiple of 52749 and 52758?

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 52749 and 52758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52749 and 52758, than apply into the LCM equation.

GCF(52749,52758) = 9
LCM(52749,52758) = ( 52749 × 52758) / 9
LCM(52749,52758) = 2782931742 / 9
LCM(52749,52758) = 309214638

Least Common Multiple (LCM) of 52749 and 52758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52749 and 52758. First we will calculate the prime factors of 52749 and 52758.

Prime Factorization of 52749

Prime Factorization of 52758

Now multiplying the highest exponent prime factors to calculate the LCM of 52749 and 52758.

LCM(52749,52758) = 3³ × 5861¹ × 2¹ × 977¹
LCM(52749,52758) = 309214638