What is the Least Common Multiple of 97890 and 97895?

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 97890 and 97895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97890 and 97895, than apply into the LCM equation.

GCF(97890,97895) = 5
LCM(97890,97895) = ( 97890 × 97895) / 5
LCM(97890,97895) = 9582941550 / 5
LCM(97890,97895) = 1916588310

Least Common Multiple (LCM) of 97890 and 97895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97890 and 97895. First we will calculate the prime factors of 97890 and 97895.

Prime Factorization of 97890

Prime Factorization of 97895

Now multiplying the highest exponent prime factors to calculate the LCM of 97890 and 97895.

LCM(97890,97895) = 2¹ × 3¹ × 5¹ × 13¹ × 251¹ × 7¹ × 2797¹
LCM(97890,97895) = 1916588310