What is the Least Common Multiple of 74905 and 74925?

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 74905 and 74925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74905 and 74925, than apply into the LCM equation.

GCF(74905,74925) = 5
LCM(74905,74925) = ( 74905 × 74925) / 5
LCM(74905,74925) = 5612257125 / 5
LCM(74905,74925) = 1122451425

Least Common Multiple (LCM) of 74905 and 74925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74905 and 74925. First we will calculate the prime factors of 74905 and 74925.

Prime Factorization of 74905

Prime Factorization of 74925

Now multiplying the highest exponent prime factors to calculate the LCM of 74905 and 74925.

LCM(74905,74925) = 5² × 71¹ × 211¹ × 3⁴ × 37¹
LCM(74905,74925) = 1122451425