What is the Least Common Multiple of 97974 and 97984?

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 97974 and 97984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97974 and 97984, than apply into the LCM equation.

GCF(97974,97984) = 2
LCM(97974,97984) = ( 97974 × 97984) / 2
LCM(97974,97984) = 9599884416 / 2
LCM(97974,97984) = 4799942208

Least Common Multiple (LCM) of 97974 and 97984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97974 and 97984. First we will calculate the prime factors of 97974 and 97984.

Prime Factorization of 97974

Prime Factorization of 97984

Now multiplying the highest exponent prime factors to calculate the LCM of 97974 and 97984.

LCM(97974,97984) = 2⁶ × 3² × 5443¹ × 1531¹
LCM(97974,97984) = 4799942208