What is the Least Common Multiple of 75435 and 75455?

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 75435 and 75455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75435 and 75455, than apply into the LCM equation.

GCF(75435,75455) = 5
LCM(75435,75455) = ( 75435 × 75455) / 5
LCM(75435,75455) = 5691947925 / 5
LCM(75435,75455) = 1138389585

Least Common Multiple (LCM) of 75435 and 75455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75435 and 75455. First we will calculate the prime factors of 75435 and 75455.

Prime Factorization of 75435

Prime Factorization of 75455

Now multiplying the highest exponent prime factors to calculate the LCM of 75435 and 75455.

LCM(75435,75455) = 3¹ × 5¹ × 47¹ × 107¹ × 15091¹
LCM(75435,75455) = 1138389585