What is the Least Common Multiple of 42678 and 42690?

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 42678 and 42690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42678 and 42690, than apply into the LCM equation.

GCF(42678,42690) = 6
LCM(42678,42690) = ( 42678 × 42690) / 6
LCM(42678,42690) = 1821923820 / 6
LCM(42678,42690) = 303653970

Least Common Multiple (LCM) of 42678 and 42690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42678 and 42690. First we will calculate the prime factors of 42678 and 42690.

Prime Factorization of 42678

Prime Factorization of 42690

Now multiplying the highest exponent prime factors to calculate the LCM of 42678 and 42690.

LCM(42678,42690) = 2¹ × 3² × 2371¹ × 5¹ × 1423¹
LCM(42678,42690) = 303653970