What is the Least Common Multiple of 47775 and 47780?

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 47775 and 47780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47775 and 47780, than apply into the LCM equation.

GCF(47775,47780) = 5
LCM(47775,47780) = ( 47775 × 47780) / 5
LCM(47775,47780) = 2282689500 / 5
LCM(47775,47780) = 456537900

Least Common Multiple (LCM) of 47775 and 47780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47775 and 47780. First we will calculate the prime factors of 47775 and 47780.

Prime Factorization of 47775

Prime Factorization of 47780

Now multiplying the highest exponent prime factors to calculate the LCM of 47775 and 47780.

LCM(47775,47780) = 3¹ × 5² × 7² × 13¹ × 2² × 2389¹
LCM(47775,47780) = 456537900