What is the Least Common Multiple of 75461 and 75475?

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 75461 and 75475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75461 and 75475, than apply into the LCM equation.

GCF(75461,75475) = 1
LCM(75461,75475) = ( 75461 × 75475) / 1
LCM(75461,75475) = 5695418975 / 1
LCM(75461,75475) = 5695418975

Least Common Multiple (LCM) of 75461 and 75475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75461 and 75475. First we will calculate the prime factors of 75461 and 75475.

Prime Factorization of 75461

Prime Factorization of 75475

Now multiplying the highest exponent prime factors to calculate the LCM of 75461 and 75475.

LCM(75461,75475) = 59¹ × 1279¹ × 5² × 3019¹
LCM(75461,75475) = 5695418975