What is the Least Common Multiple of 74944 and 74953?

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 74944 and 74953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74944 and 74953, than apply into the LCM equation.

GCF(74944,74953) = 1
LCM(74944,74953) = ( 74944 × 74953) / 1
LCM(74944,74953) = 5617277632 / 1
LCM(74944,74953) = 5617277632

Least Common Multiple (LCM) of 74944 and 74953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74944 and 74953. First we will calculate the prime factors of 74944 and 74953.

Prime Factorization of 74944

Prime Factorization of 74953

Now multiplying the highest exponent prime factors to calculate the LCM of 74944 and 74953.

LCM(74944,74953) = 2⁶ × 1171¹ × 17¹ × 4409¹
LCM(74944,74953) = 5617277632