What is the Least Common Multiple of 97830 and 97848?

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 97830 and 97848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97830 and 97848, than apply into the LCM equation.

GCF(97830,97848) = 18
LCM(97830,97848) = ( 97830 × 97848) / 18
LCM(97830,97848) = 9572469840 / 18
LCM(97830,97848) = 531803880

Least Common Multiple (LCM) of 97830 and 97848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97830 and 97848. First we will calculate the prime factors of 97830 and 97848.

Prime Factorization of 97830

Prime Factorization of 97848

Now multiplying the highest exponent prime factors to calculate the LCM of 97830 and 97848.

LCM(97830,97848) = 2³ × 3⁴ × 5¹ × 1087¹ × 151¹
LCM(97830,97848) = 531803880