What is the Least Common Multiple of 97872 and 97892?

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 97872 and 97892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97872 and 97892, than apply into the LCM equation.

GCF(97872,97892) = 4
LCM(97872,97892) = ( 97872 × 97892) / 4
LCM(97872,97892) = 9580885824 / 4
LCM(97872,97892) = 2395221456

Least Common Multiple (LCM) of 97872 and 97892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97872 and 97892. First we will calculate the prime factors of 97872 and 97892.

Prime Factorization of 97872

Prime Factorization of 97892

Now multiplying the highest exponent prime factors to calculate the LCM of 97872 and 97892.

LCM(97872,97892) = 2⁴ × 3¹ × 2039¹ × 24473¹
LCM(97872,97892) = 2395221456