What is the Least Common Multiple of 18834 and 18840?

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 18834 and 18840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18834 and 18840, than apply into the LCM equation.

GCF(18834,18840) = 6
LCM(18834,18840) = ( 18834 × 18840) / 6
LCM(18834,18840) = 354832560 / 6
LCM(18834,18840) = 59138760

Least Common Multiple (LCM) of 18834 and 18840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18834 and 18840. First we will calculate the prime factors of 18834 and 18840.

Prime Factorization of 18834

Prime Factorization of 18840

Now multiplying the highest exponent prime factors to calculate the LCM of 18834 and 18840.

LCM(18834,18840) = 2³ × 3¹ × 43¹ × 73¹ × 5¹ × 157¹
LCM(18834,18840) = 59138760