What is the Least Common Multiple of 97890 and 97904?

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 97904 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 97904, than apply into the LCM equation.

GCF(97890,97904) = 2
LCM(97890,97904) = ( 97890 × 97904) / 2
LCM(97890,97904) = 9583822560 / 2
LCM(97890,97904) = 4791911280

Least Common Multiple (LCM) of 97890 and 97904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97890 and 97904. First we will calculate the prime factors of 97890 and 97904.

Prime Factorization of 97890

Prime Factorization of 97904

Now multiplying the highest exponent prime factors to calculate the LCM of 97890 and 97904.

LCM(97890,97904) = 2⁴ × 3¹ × 5¹ × 13¹ × 251¹ × 29¹ × 211¹
LCM(97890,97904) = 4791911280