What is the Least Common Multiple of 61755 and 61773?

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 61755 and 61773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61755 and 61773, than apply into the LCM equation.

GCF(61755,61773) = 3
LCM(61755,61773) = ( 61755 × 61773) / 3
LCM(61755,61773) = 3814791615 / 3
LCM(61755,61773) = 1271597205

Least Common Multiple (LCM) of 61755 and 61773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61755 and 61773. First we will calculate the prime factors of 61755 and 61773.

Prime Factorization of 61755

Prime Factorization of 61773

Now multiplying the highest exponent prime factors to calculate the LCM of 61755 and 61773.

LCM(61755,61773) = 3¹ × 5¹ × 23¹ × 179¹ × 59¹ × 349¹
LCM(61755,61773) = 1271597205