What is the Least Common Multiple of 97815 and 97830?

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 97815 and 97830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97815 and 97830, than apply into the LCM equation.

GCF(97815,97830) = 15
LCM(97815,97830) = ( 97815 × 97830) / 15
LCM(97815,97830) = 9569241450 / 15
LCM(97815,97830) = 637949430

Least Common Multiple (LCM) of 97815 and 97830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97815 and 97830. First we will calculate the prime factors of 97815 and 97830.

Prime Factorization of 97815

Prime Factorization of 97830

Now multiplying the highest exponent prime factors to calculate the LCM of 97815 and 97830.

LCM(97815,97830) = 3² × 5¹ × 6521¹ × 2¹ × 1087¹
LCM(97815,97830) = 637949430