What is the Least Common Multiple of 4380 and 4393?

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 4380 and 4393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4380 and 4393, than apply into the LCM equation.

GCF(4380,4393) = 1
LCM(4380,4393) = ( 4380 × 4393) / 1
LCM(4380,4393) = 19241340 / 1
LCM(4380,4393) = 19241340

Least Common Multiple (LCM) of 4380 and 4393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4393. First we will calculate the prime factors of 4380 and 4393.

Prime Factorization of 4380

Prime Factorization of 4393

Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4393.

LCM(4380,4393) = 2² × 3¹ × 5¹ × 73¹ × 23¹ × 191¹
LCM(4380,4393) = 19241340