What is the Least Common Multiple of 97784 and 97800?

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 97784 and 97800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97784 and 97800, than apply into the LCM equation.

GCF(97784,97800) = 8
LCM(97784,97800) = ( 97784 × 97800) / 8
LCM(97784,97800) = 9563275200 / 8
LCM(97784,97800) = 1195409400

Least Common Multiple (LCM) of 97784 and 97800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97784 and 97800. First we will calculate the prime factors of 97784 and 97800.

Prime Factorization of 97784

Prime Factorization of 97800

Now multiplying the highest exponent prime factors to calculate the LCM of 97784 and 97800.

LCM(97784,97800) = 2³ × 17¹ × 719¹ × 3¹ × 5² × 163¹
LCM(97784,97800) = 1195409400