What is the Least Common Multiple of 75208 and 75212?

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 75208 and 75212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75208 and 75212, than apply into the LCM equation.

GCF(75208,75212) = 4
LCM(75208,75212) = ( 75208 × 75212) / 4
LCM(75208,75212) = 5656544096 / 4
LCM(75208,75212) = 1414136024

Least Common Multiple (LCM) of 75208 and 75212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75208 and 75212. First we will calculate the prime factors of 75208 and 75212.

Prime Factorization of 75208

Prime Factorization of 75212

Now multiplying the highest exponent prime factors to calculate the LCM of 75208 and 75212.

LCM(75208,75212) = 2³ × 7¹ × 17¹ × 79¹ × 18803¹
LCM(75208,75212) = 1414136024