What is the Least Common Multiple of 35202 and 35220?

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 35202 and 35220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35202 and 35220, than apply into the LCM equation.

GCF(35202,35220) = 6
LCM(35202,35220) = ( 35202 × 35220) / 6
LCM(35202,35220) = 1239814440 / 6
LCM(35202,35220) = 206635740

Least Common Multiple (LCM) of 35202 and 35220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35202 and 35220. First we will calculate the prime factors of 35202 and 35220.

Prime Factorization of 35202

Prime Factorization of 35220

Now multiplying the highest exponent prime factors to calculate the LCM of 35202 and 35220.

LCM(35202,35220) = 2² × 3¹ × 5867¹ × 5¹ × 587¹
LCM(35202,35220) = 206635740