What is the Least Common Multiple of 42780 and 42788?

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 42780 and 42788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42780 and 42788, than apply into the LCM equation.

GCF(42780,42788) = 4
LCM(42780,42788) = ( 42780 × 42788) / 4
LCM(42780,42788) = 1830470640 / 4
LCM(42780,42788) = 457617660

Least Common Multiple (LCM) of 42780 and 42788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42780 and 42788. First we will calculate the prime factors of 42780 and 42788.

Prime Factorization of 42780

Prime Factorization of 42788

Now multiplying the highest exponent prime factors to calculate the LCM of 42780 and 42788.

LCM(42780,42788) = 2² × 3¹ × 5¹ × 23¹ × 31¹ × 19¹ × 563¹
LCM(42780,42788) = 457617660