What is the Least Common Multiple of 53745 and 53759?

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 53745 and 53759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53745 and 53759, than apply into the LCM equation.

GCF(53745,53759) = 1
LCM(53745,53759) = ( 53745 × 53759) / 1
LCM(53745,53759) = 2889277455 / 1
LCM(53745,53759) = 2889277455

Least Common Multiple (LCM) of 53745 and 53759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53745 and 53759. First we will calculate the prime factors of 53745 and 53759.

Prime Factorization of 53745

Prime Factorization of 53759

Now multiplying the highest exponent prime factors to calculate the LCM of 53745 and 53759.

LCM(53745,53759) = 3¹ × 5¹ × 3583¹ × 53759¹
LCM(53745,53759) = 2889277455