What is the Least Common Multiple of 97892 and 97907?

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 97892 and 97907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97892 and 97907, than apply into the LCM equation.

GCF(97892,97907) = 1
LCM(97892,97907) = ( 97892 × 97907) / 1
LCM(97892,97907) = 9584312044 / 1
LCM(97892,97907) = 9584312044

Least Common Multiple (LCM) of 97892 and 97907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97892 and 97907. First we will calculate the prime factors of 97892 and 97907.

Prime Factorization of 97892

Prime Factorization of 97907

Now multiplying the highest exponent prime factors to calculate the LCM of 97892 and 97907.

LCM(97892,97907) = 2² × 24473¹ × 19¹ × 5153¹
LCM(97892,97907) = 9584312044