What is the Least Common Multiple of 73944 and 73949?

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 73944 and 73949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73944 and 73949, than apply into the LCM equation.

GCF(73944,73949) = 1
LCM(73944,73949) = ( 73944 × 73949) / 1
LCM(73944,73949) = 5468084856 / 1
LCM(73944,73949) = 5468084856

Least Common Multiple (LCM) of 73944 and 73949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73944 and 73949. First we will calculate the prime factors of 73944 and 73949.

Prime Factorization of 73944

Prime Factorization of 73949

Now multiplying the highest exponent prime factors to calculate the LCM of 73944 and 73949.

LCM(73944,73949) = 2³ × 3² × 13¹ × 79¹ × 73¹ × 1013¹
LCM(73944,73949) = 5468084856