What is the Least Common Multiple of 88340 and 88347?

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 88340 and 88347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88340 and 88347, than apply into the LCM equation.

GCF(88340,88347) = 7
LCM(88340,88347) = ( 88340 × 88347) / 7
LCM(88340,88347) = 7804573980 / 7
LCM(88340,88347) = 1114939140

Least Common Multiple (LCM) of 88340 and 88347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88340 and 88347. First we will calculate the prime factors of 88340 and 88347.

Prime Factorization of 88340

Prime Factorization of 88347

Now multiplying the highest exponent prime factors to calculate the LCM of 88340 and 88347.

LCM(88340,88347) = 2² × 5¹ × 7² × 631¹ × 3¹ × 601¹
LCM(88340,88347) = 1114939140