What is the Least Common Multiple of 57414 and 57423?

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 57414 and 57423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57414 and 57423, than apply into the LCM equation.

GCF(57414,57423) = 3
LCM(57414,57423) = ( 57414 × 57423) / 3
LCM(57414,57423) = 3296884122 / 3
LCM(57414,57423) = 1098961374

Least Common Multiple (LCM) of 57414 and 57423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57414 and 57423. First we will calculate the prime factors of 57414 and 57423.

Prime Factorization of 57414

Prime Factorization of 57423

Now multiplying the highest exponent prime factors to calculate the LCM of 57414 and 57423.

LCM(57414,57423) = 2¹ × 3¹ × 7¹ × 1367¹ × 19141¹
LCM(57414,57423) = 1098961374