What is the Least Common Multiple of 88228 and 88246?

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 88228 and 88246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88228 and 88246, than apply into the LCM equation.

GCF(88228,88246) = 2
LCM(88228,88246) = ( 88228 × 88246) / 2
LCM(88228,88246) = 7785768088 / 2
LCM(88228,88246) = 3892884044

Least Common Multiple (LCM) of 88228 and 88246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88228 and 88246. First we will calculate the prime factors of 88228 and 88246.

Prime Factorization of 88228

Prime Factorization of 88246

Now multiplying the highest exponent prime factors to calculate the LCM of 88228 and 88246.

LCM(88228,88246) = 2² × 7¹ × 23¹ × 137¹ × 44123¹
LCM(88228,88246) = 3892884044