What is the Least Common Multiple of 73968 and 73983?

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 73968 and 73983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73968 and 73983, than apply into the LCM equation.

GCF(73968,73983) = 3
LCM(73968,73983) = ( 73968 × 73983) / 3
LCM(73968,73983) = 5472374544 / 3
LCM(73968,73983) = 1824124848

Least Common Multiple (LCM) of 73968 and 73983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73968 and 73983. First we will calculate the prime factors of 73968 and 73983.

Prime Factorization of 73968

Prime Factorization of 73983

Now multiplying the highest exponent prime factors to calculate the LCM of 73968 and 73983.

LCM(73968,73983) = 2⁴ × 3¹ × 23¹ × 67¹ × 7¹ × 13¹ × 271¹
LCM(73968,73983) = 1824124848