What is the Least Common Multiple of 65753 and 65758?

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 65753 and 65758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65753 and 65758, than apply into the LCM equation.

GCF(65753,65758) = 1
LCM(65753,65758) = ( 65753 × 65758) / 1
LCM(65753,65758) = 4323785774 / 1
LCM(65753,65758) = 4323785774

Least Common Multiple (LCM) of 65753 and 65758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65753 and 65758. First we will calculate the prime factors of 65753 and 65758.

Prime Factorization of 65753

Prime Factorization of 65758

Now multiplying the highest exponent prime factors to calculate the LCM of 65753 and 65758.

LCM(65753,65758) = 47¹ × 1399¹ × 2¹ × 7² × 11¹ × 61¹
LCM(65753,65758) = 4323785774