What is the Least Common Multiple of 43974 and 43984?

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 43974 and 43984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43974 and 43984, than apply into the LCM equation.

GCF(43974,43984) = 2
LCM(43974,43984) = ( 43974 × 43984) / 2
LCM(43974,43984) = 1934152416 / 2
LCM(43974,43984) = 967076208

Least Common Multiple (LCM) of 43974 and 43984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43974 and 43984. First we will calculate the prime factors of 43974 and 43984.

Prime Factorization of 43974

Prime Factorization of 43984

Now multiplying the highest exponent prime factors to calculate the LCM of 43974 and 43984.

LCM(43974,43984) = 2⁴ × 3² × 7¹ × 349¹ × 2749¹
LCM(43974,43984) = 967076208