What is the Least Common Multiple of 4396 and 4402?

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 4396 and 4402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4396 and 4402, than apply into the LCM equation.

GCF(4396,4402) = 2
LCM(4396,4402) = ( 4396 × 4402) / 2
LCM(4396,4402) = 19351192 / 2
LCM(4396,4402) = 9675596

Least Common Multiple (LCM) of 4396 and 4402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4396 and 4402. First we will calculate the prime factors of 4396 and 4402.

Prime Factorization of 4396

Prime Factorization of 4402

Now multiplying the highest exponent prime factors to calculate the LCM of 4396 and 4402.

LCM(4396,4402) = 2² × 7¹ × 157¹ × 31¹ × 71¹
LCM(4396,4402) = 9675596