What is the Least Common Multiple of 61775 and 61788?

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 61775 and 61788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61775 and 61788, than apply into the LCM equation.

GCF(61775,61788) = 1
LCM(61775,61788) = ( 61775 × 61788) / 1
LCM(61775,61788) = 3816953700 / 1
LCM(61775,61788) = 3816953700

Least Common Multiple (LCM) of 61775 and 61788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61775 and 61788. First we will calculate the prime factors of 61775 and 61788.

Prime Factorization of 61775

Prime Factorization of 61788

Now multiplying the highest exponent prime factors to calculate the LCM of 61775 and 61788.

LCM(61775,61788) = 5² × 7¹ × 353¹ × 2² × 3¹ × 19¹ × 271¹
LCM(61775,61788) = 3816953700