What is the Least Common Multiple of 92435 and 92453?

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 92435 and 92453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92435 and 92453, than apply into the LCM equation.

GCF(92435,92453) = 1
LCM(92435,92453) = ( 92435 × 92453) / 1
LCM(92435,92453) = 8545893055 / 1
LCM(92435,92453) = 8545893055

Least Common Multiple (LCM) of 92435 and 92453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92435 and 92453. First we will calculate the prime factors of 92435 and 92453.

Prime Factorization of 92435

Prime Factorization of 92453

Now multiplying the highest exponent prime factors to calculate the LCM of 92435 and 92453.

LCM(92435,92453) = 5¹ × 7¹ × 19¹ × 139¹ × 59¹ × 1567¹
LCM(92435,92453) = 8545893055