What is the Least Common Multiple of 75210 and 75226?

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 75210 and 75226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75210 and 75226, than apply into the LCM equation.

GCF(75210,75226) = 2
LCM(75210,75226) = ( 75210 × 75226) / 2
LCM(75210,75226) = 5657747460 / 2
LCM(75210,75226) = 2828873730

Least Common Multiple (LCM) of 75210 and 75226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75210 and 75226. First we will calculate the prime factors of 75210 and 75226.

Prime Factorization of 75210

Prime Factorization of 75226

Now multiplying the highest exponent prime factors to calculate the LCM of 75210 and 75226.

LCM(75210,75226) = 2¹ × 3¹ × 5¹ × 23¹ × 109¹ × 29¹ × 1297¹
LCM(75210,75226) = 2828873730