What is the Least Common Multiple of 97800 and 97815?

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 97800 and 97815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97800 and 97815, than apply into the LCM equation.

GCF(97800,97815) = 15
LCM(97800,97815) = ( 97800 × 97815) / 15
LCM(97800,97815) = 9566307000 / 15
LCM(97800,97815) = 637753800

Least Common Multiple (LCM) of 97800 and 97815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97800 and 97815. First we will calculate the prime factors of 97800 and 97815.

Prime Factorization of 97800

Prime Factorization of 97815

Now multiplying the highest exponent prime factors to calculate the LCM of 97800 and 97815.

LCM(97800,97815) = 2³ × 3¹ × 5² × 163¹ × 6521¹
LCM(97800,97815) = 637753800