What is the Least Common Multiple of 61758 and 61775?

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 61758 and 61775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61758 and 61775, than apply into the LCM equation.

GCF(61758,61775) = 1
LCM(61758,61775) = ( 61758 × 61775) / 1
LCM(61758,61775) = 3815100450 / 1
LCM(61758,61775) = 3815100450

Least Common Multiple (LCM) of 61758 and 61775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61758 and 61775. First we will calculate the prime factors of 61758 and 61775.

Prime Factorization of 61758

Prime Factorization of 61775

Now multiplying the highest exponent prime factors to calculate the LCM of 61758 and 61775.

LCM(61758,61775) = 2¹ × 3² × 47¹ × 73¹ × 5² × 7¹ × 353¹
LCM(61758,61775) = 3815100450