What is the Least Common Multiple of 55770 and 55785?

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 55770 and 55785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55770 and 55785, than apply into the LCM equation.

GCF(55770,55785) = 15
LCM(55770,55785) = ( 55770 × 55785) / 15
LCM(55770,55785) = 3111129450 / 15
LCM(55770,55785) = 207408630

Least Common Multiple (LCM) of 55770 and 55785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55770 and 55785. First we will calculate the prime factors of 55770 and 55785.

Prime Factorization of 55770

Prime Factorization of 55785

Now multiplying the highest exponent prime factors to calculate the LCM of 55770 and 55785.

LCM(55770,55785) = 2¹ × 3¹ × 5¹ × 11¹ × 13² × 3719¹
LCM(55770,55785) = 207408630