What is the Least Common Multiple of 42780 and 42795?

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 42795 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 42795, than apply into the LCM equation.

GCF(42780,42795) = 15
LCM(42780,42795) = ( 42780 × 42795) / 15
LCM(42780,42795) = 1830770100 / 15
LCM(42780,42795) = 122051340

Least Common Multiple (LCM) of 42780 and 42795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42780 and 42795. First we will calculate the prime factors of 42780 and 42795.

Prime Factorization of 42780

Prime Factorization of 42795

Now multiplying the highest exponent prime factors to calculate the LCM of 42780 and 42795.

LCM(42780,42795) = 2² × 3³ × 5¹ × 23¹ × 31¹ × 317¹
LCM(42780,42795) = 122051340