What is the Least Common Multiple of 42684 and 42699?

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 42684 and 42699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42684 and 42699, than apply into the LCM equation.

GCF(42684,42699) = 3
LCM(42684,42699) = ( 42684 × 42699) / 3
LCM(42684,42699) = 1822564116 / 3
LCM(42684,42699) = 607521372

Least Common Multiple (LCM) of 42684 and 42699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42684 and 42699. First we will calculate the prime factors of 42684 and 42699.

Prime Factorization of 42684

Prime Factorization of 42699

Now multiplying the highest exponent prime factors to calculate the LCM of 42684 and 42699.

LCM(42684,42699) = 2² × 3¹ × 3557¹ × 43¹ × 331¹
LCM(42684,42699) = 607521372