What is the Least Common Multiple of 83457 and 83475?

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 83457 and 83475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83457 and 83475, than apply into the LCM equation.

GCF(83457,83475) = 9
LCM(83457,83475) = ( 83457 × 83475) / 9
LCM(83457,83475) = 6966573075 / 9
LCM(83457,83475) = 774063675

Least Common Multiple (LCM) of 83457 and 83475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83457 and 83475. First we will calculate the prime factors of 83457 and 83475.

Prime Factorization of 83457

Prime Factorization of 83475

Now multiplying the highest exponent prime factors to calculate the LCM of 83457 and 83475.

LCM(83457,83475) = 3³ × 11¹ × 281¹ × 5² × 7¹ × 53¹
LCM(83457,83475) = 774063675