What is the Least Common Multiple of 88900 and 88914?

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 88900 and 88914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88900 and 88914, than apply into the LCM equation.

GCF(88900,88914) = 14
LCM(88900,88914) = ( 88900 × 88914) / 14
LCM(88900,88914) = 7904454600 / 14
LCM(88900,88914) = 564603900

Least Common Multiple (LCM) of 88900 and 88914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88900 and 88914. First we will calculate the prime factors of 88900 and 88914.

Prime Factorization of 88900

Prime Factorization of 88914

Now multiplying the highest exponent prime factors to calculate the LCM of 88900 and 88914.

LCM(88900,88914) = 2² × 5² × 7¹ × 127¹ × 3¹ × 29¹ × 73¹
LCM(88900,88914) = 564603900