What is the Least Common Multiple of 74945 and 74960?

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 74945 and 74960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74945 and 74960, than apply into the LCM equation.

GCF(74945,74960) = 5
LCM(74945,74960) = ( 74945 × 74960) / 5
LCM(74945,74960) = 5617877200 / 5
LCM(74945,74960) = 1123575440

Least Common Multiple (LCM) of 74945 and 74960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74945 and 74960. First we will calculate the prime factors of 74945 and 74960.

Prime Factorization of 74945

Prime Factorization of 74960

Now multiplying the highest exponent prime factors to calculate the LCM of 74945 and 74960.

LCM(74945,74960) = 5¹ × 13¹ × 1153¹ × 2⁴ × 937¹
LCM(74945,74960) = 1123575440