What is the Least Common Multiple of 97984 and 97990?

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 97984 and 97990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97984 and 97990, than apply into the LCM equation.

GCF(97984,97990) = 2
LCM(97984,97990) = ( 97984 × 97990) / 2
LCM(97984,97990) = 9601452160 / 2
LCM(97984,97990) = 4800726080

Least Common Multiple (LCM) of 97984 and 97990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97984 and 97990. First we will calculate the prime factors of 97984 and 97990.

Prime Factorization of 97984

Prime Factorization of 97990

Now multiplying the highest exponent prime factors to calculate the LCM of 97984 and 97990.

LCM(97984,97990) = 2⁶ × 1531¹ × 5¹ × 41¹ × 239¹
LCM(97984,97990) = 4800726080