What is the Least Common Multiple of 42774 and 42789?

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 42774 and 42789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42774 and 42789, than apply into the LCM equation.

GCF(42774,42789) = 3
LCM(42774,42789) = ( 42774 × 42789) / 3
LCM(42774,42789) = 1830256686 / 3
LCM(42774,42789) = 610085562

Least Common Multiple (LCM) of 42774 and 42789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42774 and 42789. First we will calculate the prime factors of 42774 and 42789.

Prime Factorization of 42774

Prime Factorization of 42789

Now multiplying the highest exponent prime factors to calculate the LCM of 42774 and 42789.

LCM(42774,42789) = 2¹ × 3¹ × 7129¹ × 17¹ × 839¹
LCM(42774,42789) = 610085562