What is the Least Common Multiple of 42378 and 42393?

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 42378 and 42393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42378 and 42393, than apply into the LCM equation.

GCF(42378,42393) = 3
LCM(42378,42393) = ( 42378 × 42393) / 3
LCM(42378,42393) = 1796530554 / 3
LCM(42378,42393) = 598843518

Least Common Multiple (LCM) of 42378 and 42393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42378 and 42393. First we will calculate the prime factors of 42378 and 42393.

Prime Factorization of 42378

Prime Factorization of 42393

Now multiplying the highest exponent prime factors to calculate the LCM of 42378 and 42393.

LCM(42378,42393) = 2¹ × 3¹ × 7¹ × 1009¹ × 13¹ × 1087¹
LCM(42378,42393) = 598843518