What is the Least Common Multiple of 33460 and 33475?

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 33460 and 33475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33460 and 33475, than apply into the LCM equation.

GCF(33460,33475) = 5
LCM(33460,33475) = ( 33460 × 33475) / 5
LCM(33460,33475) = 1120073500 / 5
LCM(33460,33475) = 224014700

Least Common Multiple (LCM) of 33460 and 33475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33460 and 33475. First we will calculate the prime factors of 33460 and 33475.

Prime Factorization of 33460

Prime Factorization of 33475

Now multiplying the highest exponent prime factors to calculate the LCM of 33460 and 33475.

LCM(33460,33475) = 2² × 5² × 7¹ × 239¹ × 13¹ × 103¹
LCM(33460,33475) = 224014700